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remoo · 2020年01月20日

问一道题:NO.PZ2018062016000088

问题如下:

A stock obeying normal distribution has a mean return of 6% and a standard deviation of 18%. The probability for the stock's return to fall less than 4% is:

选项:

A.

37.91%

B.

45.62%

C.

57.68%

解释:

B is correct. Firstly, standardize the original normal distribution:Z= (x-6%)/18%, so P(x <4%) = P( Z<-0.11).

Notice that N(-0.11) = 1- N(0.11). Based on the given table, N(0.11) = 0.5438, so N(-0.11) = 1-0.5438 = 0.4562 = 45.62%

Z在计算时 不是要除以标准误吗?即sigama/根下N?

1 个答案

星星_品职助教 · 2020年01月20日

同学你好,

标准误是X均值的标准差,所以只有在给X均值做标准化的时候,分母才是标准误。

对于普通的X做标准化,公式就是(X-μ)/σ。

需要复习一下中心极限定理,掌握什么时候需要用标准误,以及标准误和总体标准差之间的关系。

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NO.PZ2018062016000088问题如下 A stoobeying normstribution ha mereturn of 6% ana stanrviation of 18%. The probability for the stock's return to fall less th4% is:N(0.11) = 0.5438 A.37.91%B.45.62%C.57.68% B is correct. Firstly, stanrze the originnormstributionZ= (x-6%)/18%, so P(x 4%) = P( Z -0.11).NotithN(-0.11) = 1- N(0.11). Baseon the given contion, N(0.11) = 0.5438, so N(-0.11) = 1-0.5438 = 0.4562 = 45.62% 另外题目给的是N也是累积概率的意思吗?为什么给的不是F

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2021-01-27 22:56 1 · 回答

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