有限模型信賴區間覆蓋率基礎 · 脈衝 R03
本批已通過 Schema、去重、來源快照與獨立答案重算；仍未標記為人工審定。
本題庫已有對應的中英逐步詳解。原題的 candidate 與英文 ai_candidate 狀態保留；AI 覆核、有限計算與 Lean 形式證明分開標示。
batch-20261015-advance-20261118-r03-finite-confidence-interval-coverage-foundations · 2026-10-15 · 100 題
欄序為來源綁定的呈現補充；原始 JSONL 與數學答案不變。
欄序與來源綁定資料
1. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[1,3],[2,3]],[[2,3],[1,3]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[1/3, 2/3], [2/3, 1/3]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[1/3, 2/3], [2/3, 1/3]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
2. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[2,4],[2,4]],[[2,4],[2,4]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[1/2, 1/2], [1/2, 1/2]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[1/2, 1/2], [1/2, 1/2]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
3. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[3,5],[2,5]],[[2,5],[3,5]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[3/5, 2/5], [2/5, 3/5]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[3/5, 2/5], [2/5, 3/5]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
4. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[4,6],[2,6]],[[2,6],[4,6]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[2/3, 1/3], [1/3, 2/3]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[2/3, 1/3], [1/3, 2/3]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
5. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[5,7],[2,7]],[[2,7],[5,7]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[5/7, 2/7], [2/7, 5/7]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[5/7, 2/7], [2/7, 5/7]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
6. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[6,8],[2,8]],[[2,8],[6,8]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[3/4, 1/4], [1/4, 3/4]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[3/4, 1/4], [1/4, 3/4]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
7. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[7,9],[2,9]],[[2,9],[7,9]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[7/9, 2/9], [2/9, 7/9]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[7/9, 2/9], [2/9, 7/9]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
8. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[8,10],[2,10]],[[2,10],[8,10]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[4/5, 1/5], [1/5, 4/5]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[4/5, 1/5], [1/5, 4/5]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
9. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[9,11],[2,11]],[[2,11],[9,11]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[9/11, 2/11], [2/11, 9/11]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[9/11, 2/11], [2/11, 9/11]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
10. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[10,12],[2,12]],[[2,12],[10,12]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[5/6, 1/6], [1/6, 5/6]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[5/6, 1/6], [1/6, 5/6]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
11. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[11,13],[2,13]],[[2,13],[11,13]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[11/13, 2/13], [2/13, 11/13]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[11/13, 2/13], [2/13, 11/13]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
12. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[12,14],[2,14]],[[2,14],[12,14]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[6/7, 1/7], [1/7, 6/7]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[6/7, 1/7], [1/7, 6/7]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
13. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[13,15],[2,15]],[[2,15],[13,15]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[13/15, 2/15], [2/15, 13/15]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[13/15, 2/15], [2/15, 13/15]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
14. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[14,16],[2,16]],[[2,16],[14,16]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[7/8, 1/8], [1/8, 7/8]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[7/8, 1/8], [1/8, 7/8]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
15. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[15,17],[2,17]],[[2,17],[15,17]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[15/17, 2/17], [2/17, 15/17]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[15/17, 2/17], [2/17, 15/17]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
16. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[16,18],[2,18]],[[2,18],[16,18]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[8/9, 1/9], [1/9, 8/9]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[8/9, 1/9], [1/9, 8/9]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
17. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[17,19],[2,19]],[[2,19],[17,19]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[17/19, 2/19], [2/19, 17/19]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[17/19, 2/19], [2/19, 17/19]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
18. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[18,20],[2,20]],[[2,20],[18,20]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[9/10, 1/10], [1/10, 9/10]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[9/10, 1/10], [1/10, 9/10]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
19. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[19,21],[2,21]],[[2,21],[19,21]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[19/21, 2/21], [2/21, 19/21]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[19/21, 2/21], [2/21, 19/21]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
20. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[20,22],[2,22]],[[2,22],[20,22]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[10/11, 1/11], [1/11, 10/11]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[10/11, 1/11], [1/11, 10/11]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
21. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[21,23],[2,23]],[[2,23],[21,23]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[21/23, 2/23], [2/23, 21/23]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[21/23, 2/23], [2/23, 21/23]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
22. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[22,24],[2,24]],[[2,24],[22,24]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[11/12, 1/12], [1/12, 11/12]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[11/12, 1/12], [1/12, 11/12]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
23. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[23,25],[2,25]],[[2,25],[23,25]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[23/25, 2/25], [2/25, 23/25]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[23/25, 2/25], [2/25, 23/25]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
24. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[24,26],[2,26]],[[2,26],[24,26]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[12/13, 1/13], [1/13, 12/13]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[12/13, 1/13], [1/13, 12/13]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
25. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[25,27],[2,27]],[[2,27],[25,27]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。
intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。
查看答案與解釋
([0, 1], [a, b], [[0, 0], [1, 1]], [[25/27, 2/27], [2/27, 25/27]], 是, total_precommitted_theta_independent_interval_procedure)
Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[25/27, 2/27], [2/27, 25/27]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate
26. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[1,3],[2,3]],[[2,3],[1,3]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 1/3], [1, 1/3]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 1/3], [1, 1/3]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
27. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[2,4],[2,4]],[[2,4],[2,4]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 1/2], [1, 1/2]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 1/2], [1, 1/2]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
28. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[3,5],[2,5]],[[2,5],[3,5]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 3/5], [1, 3/5]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 3/5], [1, 3/5]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
29. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[4,6],[2,6]],[[2,6],[4,6]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 2/3], [1, 2/3]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 2/3], [1, 2/3]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
30. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[5,7],[2,7]],[[2,7],[5,7]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 5/7], [1, 5/7]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 5/7], [1, 5/7]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
31. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[6,8],[2,8]],[[2,8],[6,8]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 3/4], [1, 3/4]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 3/4], [1, 3/4]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
32. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[7,9],[2,9]],[[2,9],[7,9]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 7/9], [1, 7/9]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 7/9], [1, 7/9]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
33. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[8,10],[2,10]],[[2,10],[8,10]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 4/5], [1, 4/5]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 4/5], [1, 4/5]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
34. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[9,11],[2,11]],[[2,11],[9,11]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 9/11], [1, 9/11]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 9/11], [1, 9/11]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
35. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[10,12],[2,12]],[[2,12],[10,12]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 5/6], [1, 5/6]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 5/6], [1, 5/6]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
36. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[11,13],[2,13]],[[2,13],[11,13]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 11/13], [1, 11/13]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 11/13], [1, 11/13]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
37. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[12,14],[2,14]],[[2,14],[12,14]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 6/7], [1, 6/7]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 6/7], [1, 6/7]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
38. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[13,15],[2,15]],[[2,15],[13,15]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 13/15], [1, 13/15]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 13/15], [1, 13/15]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
39. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[14,16],[2,16]],[[2,16],[14,16]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 7/8], [1, 7/8]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 7/8], [1, 7/8]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
40. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[15,17],[2,17]],[[2,17],[15,17]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 15/17], [1, 15/17]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 15/17], [1, 15/17]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
41. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[16,18],[2,18]],[[2,18],[16,18]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 8/9], [1, 8/9]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 8/9], [1, 8/9]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
42. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[17,19],[2,19]],[[2,19],[17,19]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 17/19], [1, 17/19]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 17/19], [1, 17/19]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
43. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[18,20],[2,20]],[[2,20],[18,20]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 9/10], [1, 9/10]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 9/10], [1, 9/10]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
44. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[19,21],[2,21]],[[2,21],[19,21]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 19/21], [1, 19/21]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 19/21], [1, 19/21]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
45. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[20,22],[2,22]],[[2,22],[20,22]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 10/11], [1, 10/11]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 10/11], [1, 10/11]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
46. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[21,23],[2,23]],[[2,23],[21,23]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 21/23], [1, 21/23]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 21/23], [1, 21/23]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
47. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[22,24],[2,24]],[[2,24],[22,24]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 11/12], [1, 11/12]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 11/12], [1, 11/12]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
48. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[23,25],[2,25]],[[2,25],[23,25]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 23/25], [1, 23/25]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 23/25], [1, 23/25]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
49. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[24,26],[2,26]],[[2,26],[24,26]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 12/13], [1, 12/13]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 12/13], [1, 12/13]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
50. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[25,27],[2,27]],[[2,27],[25,27]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。
查看答案與解釋
([[0, 25/27], [1, 25/27]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)
Wave6第十二層核對=([[0, 25/27], [1, 25/27]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate
51. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[1,3],[2,3]],[[2,3],[1,3]]],"intervals":[[0,0],[1,1]],"target":[1,3]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 1/3], [1, 1/3]], 1/3, 1/3, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 1/3], [1, 1/3]], 1/3, 1/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
52. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[2,4],[2,4]],[[2,4],[2,4]]],"intervals":[[0,0],[1,1]],"target":[2,4]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 1/2], [1, 1/2]], 1/2, 1/2, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 1/2], [1, 1/2]], 1/2, 1/2, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
53. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[3,5],[2,5]],[[2,5],[3,5]]],"intervals":[[0,0],[1,1]],"target":[3,5]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 3/5], [1, 3/5]], 3/5, 3/5, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 3/5], [1, 3/5]], 3/5, 3/5, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
54. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[4,6],[2,6]],[[2,6],[4,6]]],"intervals":[[0,0],[1,1]],"target":[4,6]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 2/3], [1, 2/3]], 2/3, 2/3, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 2/3], [1, 2/3]], 2/3, 2/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
55. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[5,7],[2,7]],[[2,7],[5,7]]],"intervals":[[0,0],[1,1]],"target":[5,7]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 5/7], [1, 5/7]], 5/7, 5/7, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 5/7], [1, 5/7]], 5/7, 5/7, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
56. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[6,8],[2,8]],[[2,8],[6,8]]],"intervals":[[0,0],[1,1]],"target":[1,3]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 3/4], [1, 3/4]], 3/4, 1/3, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 3/4], [1, 3/4]], 3/4, 1/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
57. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[7,9],[2,9]],[[2,9],[7,9]]],"intervals":[[0,0],[1,1]],"target":[2,4]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 7/9], [1, 7/9]], 7/9, 1/2, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 7/9], [1, 7/9]], 7/9, 1/2, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
58. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[8,10],[2,10]],[[2,10],[8,10]]],"intervals":[[0,0],[1,1]],"target":[3,5]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 4/5], [1, 4/5]], 4/5, 3/5, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 4/5], [1, 4/5]], 4/5, 3/5, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
59. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[9,11],[2,11]],[[2,11],[9,11]]],"intervals":[[0,0],[1,1]],"target":[4,6]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 9/11], [1, 9/11]], 9/11, 2/3, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 9/11], [1, 9/11]], 9/11, 2/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
60. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[10,12],[2,12]],[[2,12],[10,12]]],"intervals":[[0,0],[1,1]],"target":[5,7]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 5/6], [1, 5/6]], 5/6, 5/7, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 5/6], [1, 5/6]], 5/6, 5/7, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
61. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[11,13],[2,13]],[[2,13],[11,13]]],"intervals":[[0,0],[1,1]],"target":[1,3]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 11/13], [1, 11/13]], 11/13, 1/3, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 11/13], [1, 11/13]], 11/13, 1/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
62. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[12,14],[2,14]],[[2,14],[12,14]]],"intervals":[[0,0],[1,1]],"target":[2,4]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 6/7], [1, 6/7]], 6/7, 1/2, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 6/7], [1, 6/7]], 6/7, 1/2, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
63. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[13,15],[2,15]],[[2,15],[13,15]]],"intervals":[[0,0],[1,1]],"target":[3,5]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 13/15], [1, 13/15]], 13/15, 3/5, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 13/15], [1, 13/15]], 13/15, 3/5, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
64. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[14,16],[2,16]],[[2,16],[14,16]]],"intervals":[[0,0],[1,1]],"target":[4,6]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 7/8], [1, 7/8]], 7/8, 2/3, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 7/8], [1, 7/8]], 7/8, 2/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
65. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[15,17],[2,17]],[[2,17],[15,17]]],"intervals":[[0,0],[1,1]],"target":[5,7]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 15/17], [1, 15/17]], 15/17, 5/7, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 15/17], [1, 15/17]], 15/17, 5/7, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
66. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[16,18],[2,18]],[[2,18],[16,18]]],"intervals":[[0,0],[1,1]],"target":[1,3]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 8/9], [1, 8/9]], 8/9, 1/3, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 8/9], [1, 8/9]], 8/9, 1/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
67. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[17,19],[2,19]],[[2,19],[17,19]]],"intervals":[[0,0],[1,1]],"target":[2,4]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 17/19], [1, 17/19]], 17/19, 1/2, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 17/19], [1, 17/19]], 17/19, 1/2, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
68. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[18,20],[2,20]],[[2,20],[18,20]]],"intervals":[[0,0],[1,1]],"target":[3,5]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 9/10], [1, 9/10]], 9/10, 3/5, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 9/10], [1, 9/10]], 9/10, 3/5, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
69. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[19,21],[2,21]],[[2,21],[19,21]]],"intervals":[[0,0],[1,1]],"target":[4,6]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 19/21], [1, 19/21]], 19/21, 2/3, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 19/21], [1, 19/21]], 19/21, 2/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
70. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[20,22],[2,22]],[[2,22],[20,22]]],"intervals":[[0,0],[1,1]],"target":[5,7]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 10/11], [1, 10/11]], 10/11, 5/7, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 10/11], [1, 10/11]], 10/11, 5/7, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
71. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[21,23],[2,23]],[[2,23],[21,23]]],"intervals":[[0,0],[1,1]],"target":[1,3]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 21/23], [1, 21/23]], 21/23, 1/3, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 21/23], [1, 21/23]], 21/23, 1/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
72. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[22,24],[2,24]],[[2,24],[22,24]]],"intervals":[[0,0],[1,1]],"target":[2,4]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 11/12], [1, 11/12]], 11/12, 1/2, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 11/12], [1, 11/12]], 11/12, 1/2, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
73. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[23,25],[2,25]],[[2,25],[23,25]]],"intervals":[[0,0],[1,1]],"target":[3,5]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 23/25], [1, 23/25]], 23/25, 3/5, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 23/25], [1, 23/25]], 23/25, 3/5, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
74. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[24,26],[2,26]],[[2,26],[24,26]]],"intervals":[[0,0],[1,1]],"target":[4,6]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 12/13], [1, 12/13]], 12/13, 2/3, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 12/13], [1, 12/13]], 12/13, 2/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
75. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[25,27],[2,27]],[[2,27],[25,27]]],"intervals":[[0,0],[1,1]],"target":[5,7]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。
查看答案與解釋
([[0, 25/27], [1, 25/27]], 25/27, 5/7, 是, worst_case_is_minimum_over_finite_theta)
Wave6第十二層核對=([[0, 25/27], [1, 25/27]], 25/27, 5/7, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate
76. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"average_only","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[1,3],[2,3]],[[2,3],[1,3]]],"intervals":[[0,0],[0,0]],"theta_weights":[[1,3],[2,3]],"target":[1,3]}}。請依 [mode, pointwise_coverage_table, theta_weights, weighted_average, minimum_coverage, target, distinct_coverages, average_strictly_above_minimum, average_masks_target_failure, average_implies_uniform_target_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)
Wave6第十二層核對=(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
77. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"posterior_confusion","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[2,4],[2,4]],[[2,4],[2,4]]],"intervals":[[0,0],[1,1]],"prior":[[2,4],[2,4]],"observed":"b"}}。請依 [mode, observed_sample, posterior_by_theta, pointwise_coverage_table, posterior_equals_coverage_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(posterior_confusion, b, [1/2, 1/2], [[0, 1/2], [1, 1/2]], 否, posterior_given_observed_data_is_not_frequentist_coverage)
Wave6第十二層核對=(posterior_confusion, b, [1/2, 1/2], [[0, 1/2], [1, 1/2]], 否, posterior_given_observed_data_is_not_frequentist_coverage)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
78. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"ignored_selection","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[3,5],[2,5]],[[2,5],[3,5]]],"intervals":[[0,0],[1,1]],"selected_samples":["a"]}}。請依 [mode, selected_samples, unconditional_coverage_table, selected_mass_and_conditional_coverage_by_theta, unchanged_coverage_without_recomputation_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(ignored_selection, [a], [[0, 3/5], [1, 3/5]], [[0, 3/5, 1], [1, 2/5, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)
Wave6第十二層核對=(ignored_selection, [a], [[0, 3/5], [1, 3/5]], [[0, 3/5, 1], [1, 2/5, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
79. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"invalid_procedure","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[4,6],[2,6]],[[2,6],[4,6]]],"intervals":[[4,3],[4,4]]}}。請依 [mode, procedure_valid, validation_error, procedure_qualification_claim] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)
Wave6第十二層核對=(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
80. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"average_only","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[5,7],[2,7]],[[2,7],[5,7]]],"intervals":[[0,0],[0,0]],"theta_weights":[[1,3],[2,3]],"target":[1,3]}}。請依 [mode, pointwise_coverage_table, theta_weights, weighted_average, minimum_coverage, target, distinct_coverages, average_strictly_above_minimum, average_masks_target_failure, average_implies_uniform_target_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)
Wave6第十二層核對=(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
81. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"posterior_confusion","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[6,8],[2,8]],[[2,8],[6,8]]],"intervals":[[0,0],[1,1]],"prior":[[2,4],[2,4]],"observed":"b"}}。請依 [mode, observed_sample, posterior_by_theta, pointwise_coverage_table, posterior_equals_coverage_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(posterior_confusion, b, [1/4, 3/4], [[0, 3/4], [1, 3/4]], 否, posterior_given_observed_data_is_not_frequentist_coverage)
Wave6第十二層核對=(posterior_confusion, b, [1/4, 3/4], [[0, 3/4], [1, 3/4]], 否, posterior_given_observed_data_is_not_frequentist_coverage)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
82. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"ignored_selection","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[7,9],[2,9]],[[2,9],[7,9]]],"intervals":[[0,0],[1,1]],"selected_samples":["a"]}}。請依 [mode, selected_samples, unconditional_coverage_table, selected_mass_and_conditional_coverage_by_theta, unchanged_coverage_without_recomputation_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(ignored_selection, [a], [[0, 7/9], [1, 7/9]], [[0, 7/9, 1], [1, 2/9, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)
Wave6第十二層核對=(ignored_selection, [a], [[0, 7/9], [1, 7/9]], [[0, 7/9, 1], [1, 2/9, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
83. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"invalid_procedure","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[8,10],[2,10]],[[2,10],[8,10]]],"intervals":[[8,7],[8,8]]}}。請依 [mode, procedure_valid, validation_error, procedure_qualification_claim] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)
Wave6第十二層核對=(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
84. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"average_only","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[9,11],[2,11]],[[2,11],[9,11]]],"intervals":[[0,0],[0,0]],"theta_weights":[[1,3],[2,3]],"target":[1,3]}}。請依 [mode, pointwise_coverage_table, theta_weights, weighted_average, minimum_coverage, target, distinct_coverages, average_strictly_above_minimum, average_masks_target_failure, average_implies_uniform_target_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)
Wave6第十二層核對=(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
85. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"posterior_confusion","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[10,12],[2,12]],[[2,12],[10,12]]],"intervals":[[0,0],[1,1]],"prior":[[2,4],[2,4]],"observed":"b"}}。請依 [mode, observed_sample, posterior_by_theta, pointwise_coverage_table, posterior_equals_coverage_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(posterior_confusion, b, [1/6, 5/6], [[0, 5/6], [1, 5/6]], 否, posterior_given_observed_data_is_not_frequentist_coverage)
Wave6第十二層核對=(posterior_confusion, b, [1/6, 5/6], [[0, 5/6], [1, 5/6]], 否, posterior_given_observed_data_is_not_frequentist_coverage)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
86. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"ignored_selection","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[11,13],[2,13]],[[2,13],[11,13]]],"intervals":[[0,0],[1,1]],"selected_samples":["a"]}}。請依 [mode, selected_samples, unconditional_coverage_table, selected_mass_and_conditional_coverage_by_theta, unchanged_coverage_without_recomputation_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(ignored_selection, [a], [[0, 11/13], [1, 11/13]], [[0, 11/13, 1], [1, 2/13, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)
Wave6第十二層核對=(ignored_selection, [a], [[0, 11/13], [1, 11/13]], [[0, 11/13, 1], [1, 2/13, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
87. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"invalid_procedure","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[12,14],[2,14]],[[2,14],[12,14]]],"intervals":[[12,11],[12,12]]}}。請依 [mode, procedure_valid, validation_error, procedure_qualification_claim] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)
Wave6第十二層核對=(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
88. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"average_only","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[13,15],[2,15]],[[2,15],[13,15]]],"intervals":[[0,0],[0,0]],"theta_weights":[[1,3],[2,3]],"target":[1,3]}}。請依 [mode, pointwise_coverage_table, theta_weights, weighted_average, minimum_coverage, target, distinct_coverages, average_strictly_above_minimum, average_masks_target_failure, average_implies_uniform_target_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)
Wave6第十二層核對=(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
89. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"posterior_confusion","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[14,16],[2,16]],[[2,16],[14,16]]],"intervals":[[0,0],[1,1]],"prior":[[2,4],[2,4]],"observed":"b"}}。請依 [mode, observed_sample, posterior_by_theta, pointwise_coverage_table, posterior_equals_coverage_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(posterior_confusion, b, [1/8, 7/8], [[0, 7/8], [1, 7/8]], 否, posterior_given_observed_data_is_not_frequentist_coverage)
Wave6第十二層核對=(posterior_confusion, b, [1/8, 7/8], [[0, 7/8], [1, 7/8]], 否, posterior_given_observed_data_is_not_frequentist_coverage)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
90. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"ignored_selection","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[15,17],[2,17]],[[2,17],[15,17]]],"intervals":[[0,0],[1,1]],"selected_samples":["a"]}}。請依 [mode, selected_samples, unconditional_coverage_table, selected_mass_and_conditional_coverage_by_theta, unchanged_coverage_without_recomputation_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(ignored_selection, [a], [[0, 15/17], [1, 15/17]], [[0, 15/17, 1], [1, 2/17, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)
Wave6第十二層核對=(ignored_selection, [a], [[0, 15/17], [1, 15/17]], [[0, 15/17, 1], [1, 2/17, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
91. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"invalid_procedure","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[16,18],[2,18]],[[2,18],[16,18]]],"intervals":[[16,15],[16,16]]}}。請依 [mode, procedure_valid, validation_error, procedure_qualification_claim] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)
Wave6第十二層核對=(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
92. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"average_only","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[17,19],[2,19]],[[2,19],[17,19]]],"intervals":[[0,0],[0,0]],"theta_weights":[[1,3],[2,3]],"target":[1,3]}}。請依 [mode, pointwise_coverage_table, theta_weights, weighted_average, minimum_coverage, target, distinct_coverages, average_strictly_above_minimum, average_masks_target_failure, average_implies_uniform_target_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)
Wave6第十二層核對=(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
93. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"posterior_confusion","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[18,20],[2,20]],[[2,20],[18,20]]],"intervals":[[0,0],[1,1]],"prior":[[2,4],[2,4]],"observed":"b"}}。請依 [mode, observed_sample, posterior_by_theta, pointwise_coverage_table, posterior_equals_coverage_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(posterior_confusion, b, [1/10, 9/10], [[0, 9/10], [1, 9/10]], 否, posterior_given_observed_data_is_not_frequentist_coverage)
Wave6第十二層核對=(posterior_confusion, b, [1/10, 9/10], [[0, 9/10], [1, 9/10]], 否, posterior_given_observed_data_is_not_frequentist_coverage)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
94. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"ignored_selection","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[19,21],[2,21]],[[2,21],[19,21]]],"intervals":[[0,0],[1,1]],"selected_samples":["a"]}}。請依 [mode, selected_samples, unconditional_coverage_table, selected_mass_and_conditional_coverage_by_theta, unchanged_coverage_without_recomputation_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(ignored_selection, [a], [[0, 19/21], [1, 19/21]], [[0, 19/21, 1], [1, 2/21, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)
Wave6第十二層核對=(ignored_selection, [a], [[0, 19/21], [1, 19/21]], [[0, 19/21, 1], [1, 2/21, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
95. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"invalid_procedure","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[20,22],[2,22]],[[2,22],[20,22]]],"intervals":[[20,19],[20,20]]}}。請依 [mode, procedure_valid, validation_error, procedure_qualification_claim] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)
Wave6第十二層核對=(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
96. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"average_only","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[21,23],[2,23]],[[2,23],[21,23]]],"intervals":[[0,0],[0,0]],"theta_weights":[[1,3],[2,3]],"target":[1,3]}}。請依 [mode, pointwise_coverage_table, theta_weights, weighted_average, minimum_coverage, target, distinct_coverages, average_strictly_above_minimum, average_masks_target_failure, average_implies_uniform_target_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)
Wave6第十二層核對=(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
97. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"posterior_confusion","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[22,24],[2,24]],[[2,24],[22,24]]],"intervals":[[0,0],[1,1]],"prior":[[2,4],[2,4]],"observed":"b"}}。請依 [mode, observed_sample, posterior_by_theta, pointwise_coverage_table, posterior_equals_coverage_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(posterior_confusion, b, [1/12, 11/12], [[0, 11/12], [1, 11/12]], 否, posterior_given_observed_data_is_not_frequentist_coverage)
Wave6第十二層核對=(posterior_confusion, b, [1/12, 11/12], [[0, 11/12], [1, 11/12]], 否, posterior_given_observed_data_is_not_frequentist_coverage)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
98. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"ignored_selection","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[23,25],[2,25]],[[2,25],[23,25]]],"intervals":[[0,0],[1,1]],"selected_samples":["a"]}}。請依 [mode, selected_samples, unconditional_coverage_table, selected_mass_and_conditional_coverage_by_theta, unchanged_coverage_without_recomputation_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(ignored_selection, [a], [[0, 23/25], [1, 23/25]], [[0, 23/25, 1], [1, 2/25, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)
Wave6第十二層核對=(ignored_selection, [a], [[0, 23/25], [1, 23/25]], [[0, 23/25, 1], [1, 2/25, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
99. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"invalid_procedure","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[24,26],[2,26]],[[2,26],[24,26]]],"intervals":[[24,23],[24,24]]}}。請依 [mode, procedure_valid, validation_error, procedure_qualification_claim] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)
Wave6第十二層核對=(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
100. 有限模型信賴區間覆蓋率
完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"average_only","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[25,27],[2,27]],[[2,27],[25,27]]],"intervals":[[0,0],[0,0]],"theta_weights":[[1,3],[2,3]],"target":[1,3]}}。請依 [mode, pointwise_coverage_table, theta_weights, weighted_average, minimum_coverage, target, distinct_coverages, average_strictly_above_minimum, average_masks_target_failure, average_implies_uniform_target_claim, boundary] 欄序回答。
四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。
查看答案與解釋
(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)
Wave6第十二層核對=(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。
本題逐步詳解（AI 二次覆核）
有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate
原始題目 JSONL · 驗收報告