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胖婷肥周 · 2022年06月29日

请帮忙看看我这个图哪里有问题?

NO.PZ2015120604000076

问题如下:

According to the above table, and we are informed that the performance of next day is good, what is the probability of today's performance is good?

选项:

A.

0.74.

B.

0.28.

C.

0.67.

解释:

C is correct.

We can use Bayes' formula to solve this problem.

A: today's performance is good.

B: next day's performance is good.

P(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=0.28

P(B)=0.4×0.7+0.2×0.3+0.4×0.2=0.42

P(A|B)=0.67

我分子算出来是0.28,但是分子没有算出4.2,而是算出0.364。请帮我看看问题出在哪

1 个答案

星星_品职助教 · 2022年06月30日

同学你好,

Neutral和Poor是两种情况,需要分成两支画,不能统一在一起。

Neutral下good的情况是0.2×0.3,Poor下good的情况是0.4×0.2,这两者加上good-good的0.4×0.7才是分母。

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