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🎀马小玛🎀 · 2020年05月04日

问一道题:NO.PZ2015120604000106

问题如下:

For a normally distributed random variable,  the probability that random varible is greater than three standard deviations excess the mean is:

选项:

A.

0.0013.

B.

0.0228.

C.

0.9987.

解释:

A is correct.

1 - F(3) = 1 - 0.9987 = 0.0013.

题目中random varible is greater than 3 σ excess the mean 不应该是:X≥3σ-μ 为啥把μ 拿到左边去。然后标准化,不应该是Z≥2σ吗?

1 个答案

星星_品职助教 · 2020年05月06日

同学你好,

对于random varible is greater than three standard deviations excess the mean 的理解是“变量到均值的距离”超过了3倍标准差,变量到均值的距离即用X-μ来衡量,所以是X-μ≥3σ

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