问题如下:
Which of the following statements about the continuous uniform distribution and the normal distribution is most accurate?
选项:
A.If X~N(μ,σ), then X/σ~N(0,1)
B.The cumulative distribution function of the continuous uniform distribution is a curve.
C.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 (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.
B选项,continuous uniform distribution密度函数图像是一条直线,但累积概率的图像究竟是什么样子呢?为什么还是一条直线?