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叶赫那拉坤坤 · 2025年06月05日

D为什么是对的?

NO.PZ2023091601000002

问题如下:

An analyst develops the following probability distribution about the state of the economy and the market.

Which of the following statements about this probability distribution is least likely accurate?

选项:

A.

The probability of a normal market is 0.30

B.

The probability of having a good economy and a bear market is 0.12

C.

Given that the economy is good, the chance of a poor economy and a bull market is 0.15

D.

Given that the economy is poor, the combined probability of a normal or a bull market is 0.50

解释:

Given that the economy is good, the probability of a poor economy and a bull market is zero. The other statements are true. The P(normal market) = (0.60 × 0.30) + (0.40 × 0.30) = 0.30. P(good economy and bear market) = 0.60 × 0.20 = 0.12. Given that the economy is poor, the probability of a normal or bull market = 0.30 + 0.20 = 0.50.

Given that the economy is poor, the probability of a normal or bull market 不应该是0吗?

1 个答案

李坏_品职助教 · 2025年06月05日

嗨,爱思考的PZer你好:


这道题需要你选出叙述错误的一项。


D意思是,在经济差的条件下,normal或bull的概率之和是0.5.


表格给出了条件,经济差(poor)的前提下,bull和normal概率加起来是20%+30% = 50%. 所以D的计算结果是正确的。 注意表格右侧那一栏的数字,本身就是conditional prob,这是条件概率的意思,所以可以直接相加。


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