2022-2023-1概率论与数理统计学习通超星期末考试答案章节答案2024年

2022-2023-1概率论与数理统计学习通超星期末考试章节答案2024年P43

2．（本题6分）按照从小到大顺序排列P(A),P(AÈB)，P(AB)，P(A)+P(B)，并说明理由.

答案:解1：因为ABÌAÌAÈB，所以P(AB)£P(A)£P(AÈB)--------------------------3分又因为P(AÈB)=P(A)+P(B)-P(AB)所以有P(AÈB)£P(A)+P(B)-------------------------------5分所以，P(AB)£P(A)£P(AÈB)£P(A)+P(B)------------6分解2：由于P(A-B)=P(A)-P(AB),

所以P(AB)£P(A)------------------------------------------------2分又由于P(AÈB)=P(A)+P(B)-P(AB)

=P(A)+P(B-A)所以P(A)£P(AÈB)£P(A)+P(B)------------------------5分所以，P(AB)£P(A)£P(AÈB)£P(A)+P(B)-----------6分/star3/origin/d86c27913c625f1213a275d0f349c100.png

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答案:对设X~N(1,2)，Y~P(3)，且X与Y独立，则D(X+Y)=

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答案:对同时掷2颗骰子，记录它们的点数之和，样本空间为{2,4,6,8,10,12}.

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答案:错口袋中有5个白球，3个黑球，从中任取两个，恰