设随机变量X~N(-3,1),N(36,0.1),且XY独立,则E(X+Y)^2=

问题描述:

设随机变量X~N(-3,1),N(36,0.1),且XY独立,则E(X+Y)^2=

解析
E(X)=-3
E(Y)=3.6
E(X+Y)=-3+3.6=0.6
E(X+Y)²=0.36