试题题干
X~N(3,4²),则E(X²)=.
参考答案
试题解析
(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
X~N(3,4²),则E(X²)=.
(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