问一道题：NO.PZ2015120604000173

问题如下：

Which of the following statements about the continuous uniform distribution and the normal distribution is most accurate?

选项：

If $X ~ N (μ, σ)$ , then $\frac{X}{σ} ~ N (0, 1)$

The cumulative distribution function of the continuous uniform distribution is a curve.

If X is a random variable which is continuously uniform distributed, then P(X=a)=0 (a is a specific value).

解释：

C is correct.

If $X ~ N (μ, σ)$ , then $\frac{X - μ}{σ} ~ N (0, 1)$ , so A is wrong.

The cumulative distribution function of the continuous uniform distribution is a fully straight line ,so B is wrong.

A选项是啥意思呢？

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1 个答案

星星_品职助教 · 2021年04月10日

@廖木辛白告对的，应该是X服从N(μ，σ²)的正态分布，（X-μ）/σ服从N(0,1)即标准正态分布。之前的平方项没有打上去

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问一道题：NO.PZ2015120604000173

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