7.已知E(X)=-1,D(X)=3,则E[3(X05-2)]=()。A.9;B.6;C.30;D.36。并给出详细的计算过程。

2025-06-28 02:40:25
推荐回答(2个)
回答1:

D(X)=E(X^2) -[E(X)]^2
3 = E(X^2) -1
E(X^2) = 4
------------
E[3(X^2-2)]
=3E(X^2) - 6
=12-6
=6
ans : B

回答2:

D(X)=E(X^2)-[E(X)]^2E(X^2)=D(X)+[E(X)]^2=3+(-1)^2=4E[3(X^2-2)]=3E(X^2-2)=3E(X^2)-3E(2)=3*4-3*2=6