发布网友 发布时间:2022-04-23 22:47
共1个回答
热心网友 时间:2023-10-12 16:28
P{X=-2}=F(-2)-F(-2-0)=0.1-0=0.1; P{X=0}=F(0)-F(0-0)=0.4-0.1=0.3; P{X=1}=F(1)-F(1-0)=0.8-0.4=0.4; P{X=3}=F(3)-F(3-0)=1-0.8=0.2; P{X^2=(-2)^2=4}=0.1; P{X^2=0^2=0}=0.3; P{X^2=1^2=1}=0.4; P{X^2=3^=9}=0.2; E(X)=(-2)×(0.1)+0×(0.3)+1×(0.4)+3×(0.2),即E(X)=0.8;D(X)=E(X^2)-[E(X)]^2=(-2)^2×(0.1)+0^2×(0.3)+1^2×(0.4)+3^2×(0.2)-(0.8)^2,即D(X)=1.96。