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v321123 · 2019年02月23日

问一道题:NO.PZ2015120604000076

问题如下图:

    

选项:

A.

B.

C.

解释:


we are informed that the performance of next day is good.不能理解为明天表现好这件事已经是确定的么。那今天表现好的概率不就是0.4

1 个答案

菲菲_品职助教 · 2019年02月26日

同学你好,并不是这么理解的,明天表现好是确定的,这里想表达的意思就是,在明天表现好确定的条件下,今天表现好的概率,这是一个条件概率,我们就应该按照答案所给的公式来进行计算。

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NO.PZ2015120604000076问题如下 Accorng to the above table, anwe are informeththe performanof next y is goo whis the probability of toy's performanis goo A.0.74.B.0.28.C.0.67. C is correct.We cuse Bayes' formula to solve this problem.toy's performanis goonext y's performanis gooP(A|B)=P(B|A)*P(A)/P(B)=0.7×0.4/(0.4×0.7+0.2×0.3+0.4×0.2)P(B|A)*P(A)=0.7×0.4=0.28P(B)=0.4×0.7+0.2×0.3+0.4×0.2=0.42P(A|B)=0.67 我的理解贝叶斯公式是P(A|B)=P(B|A)*P(A)/P(B),P(B|A)=0.4*0.7,P(B)=0.4*0.7+0.2*0.3+0.4*0.2=0.42,P(A)=0.4,但是这样算下来跟答案不一样,是不是P(A)错了?

2024-07-25 12:03 2 · 回答

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