2.2.14hard一级题目发布者: ai-batch题干设随机变量 XXX 的分布函数如下,试求 E(X)E(X)E(X): F(x)={ex2,x<0,12,0≤x<1,1−12e−12(x−1),x≥1.F(x) = \begin{cases} \dfrac{e^x}{2}, & x < 0, \\ \dfrac{1}{2}, & 0 \le x < 1, \\ 1 - \dfrac{1}{2} e^{-\frac{1}{2}(x-1)}, & x \ge 1. \end{cases}F(x)=⎩⎨⎧2ex,21,1−21e−21(x−1),x<0,0≤x<1,x≥1.