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水水 · 2021年09月24日

老师可否详细讲一下这道题

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(AB)=P(BA)P(B)×P(A)=0.7×0.40.4×0.7+0.2×0.3+0.4×0.2=0.67

题目没有读懂~算法就更不太清楚了

1 个答案
已采纳答案

星星_品职助教 · 2021年09月24日

同学你好,

①这道题如果用公式做,设定A: today's performance is good;B: next day's performance is good.

公式为P(A|B)=P(B|A) / P(B)×P(A),逐项代入,即可得0.7×0.4 / (0.4×0.7+0.2×0.3+0.4×0.2)=0.67。

②这道题更推荐用画图法做,参见下图:

水水 · 2021年10月04日

这个题的答案少写了符号,就没看明白了~老师写清楚了就懂了,希望后台可以完善这个题的答案。

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2023-01-26 23:24 1 · 回答

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