问一道题：NO.PZ2015120604000178 [ CFA I ]

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：

0.5%.

1%.

5%.

解释：

A is correct.

It is appropriate to use the central limit theroy to calculate.

$Standatd error = \frac{5.4 %/}{\sqrt{6}} = 0.009$

P(X＞12.32%)=P(Z＞ (12.32%-10%)/0.009)=P(Z＞2.58). So the corresponding probability is 0.5%.

请问中心极限定理里面的根号下6的6怎么看出来的？

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2 个答案

星星_品职助教 · 2020年06月14日

@维克多周

对应该是根号36

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星星_品职助教 · 2020年06月14日

同学你好，

中心极限定理的公式中，分母为√n，本题中考虑“the next three years (all the data are monthly statistics).”也就是一共是36个月，所以分母为根号36也就是6.

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维克多周 · 2020年06月14日

那应该是根号36 不是根号6吧？

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问一道题：NO.PZ2015120604000178 [ CFA I ]

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