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cui1130 · 2022年03月20日

看不懂啥意思,这道题要表达什么啊

NO.PZ2015120604000178

问题如下:

BIM is a well-developed public company and its market capitalization growth rates over past few decades are normally distributed.The population has a mean of 10% and a standard deviation of 5.4%. An investor wants to figure out the probability that BIM's average capitalization growth rate will over 12.32% in the next three years (all the data are monthly statistics).Which of the following option is most accurate?

选项:

A.

0.5%.

B.

1%.

C.

5%.

解释:

A is correct.

It is appropriate to use the central limit theroy to calculate. Standard error=5.4%/36\sqrt {\rm{36}} P(X>12.32%)=P(Z> (12.32%-10%)/0.009)=P(Z>2.58). So the corresponding probability is 0.5%.

看不懂啥意思,这道题要表达什么啊

1 个答案

星星_品职助教 · 2022年03月21日

同学你好,

本题要求the probability that BIM's average capitalization growth rate will over 12.32% 。

由于普通正态分布不能直接通过查表得到这个概率,所以要将其标准化。即P(X>12.32%)=P(Z> (12.32%-10%)/0.009)=P(Z>2.58).

由此得到“the probability that BIM's average capitalization growth rate will over 12.32%”=0.5%

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