Question

3.设随机变量的概率分布为 0 2 6 ,求e(x),e(ln(x+2))

设随机变量X的分布律为P(X=2)=0.3,P（X=0）=0.3,P（X=-2）=0.4,试计算E(X),E(X2),D(X).

Answer 1

E(X)=2*0.3+0*0.3+(-2)*0.4=-0.2
E(X2)=2^2*0.3+0^2*0.3+(-2)^2*0.4=2.8
D(X)=E(X2)-E^2(X)=2.8-0.04=2.76