X~N(3,4²),则E(X²)=( ).

X~N(3,4²),则E(X²)=( ).
【正确答案】:25
【题目解析】:(1)正态分布X~N(μ,σ²):E(X)=μ、D(X)=σ²本题,E(X)=3,D(X)=4²=16(2)方差公式:D(X)=E(X²)-[E(X)]²可知,E(X²)=D(X)+[E(X)]²=25