NO.PZ2024120401000060
问题如下:
For the cumulative distribution function (CDF) F(X), which of the following is incorrect?
选项:
A.
F(-∞)=0 and F(∞)=1
B.
F(X) is a non - decreasing function such that if x₂>x₁ then F(x₂)≥F(x₁)
C.
P(X>k)=1 - F(k)
D.
P(x₁≤X≤x₂)=F(x₂) - F(x₁)
解释:
如题,选项C的P(x>=k)这里为什么等于号就不能省略,我理解这里说的是P(X<=k)的反面,正常难道不应该是X>k吗?但还有一条规则是连续的随机变量就一定要加上“=”号,可以再解释一下为什么吗?