试题题干
X~B(5,0.2),则E(X²)=.
参考答案
试题解析
(1)二项分布X~B(n,p),则E(X)=np;D(X)=np(1-p)
可知:E(X)=5×0.2=1、D(X)=5×0.2×0.8=0.8
(2)方差:D(X)=E(X²)-[E(X)]²
可知:E(X²)=D(X)+[E(X)]²=1.8
X~B(5,0.2),则E(X²)=.
(1)二项分布X~B(n,p),则E(X)=np;D(X)=np(1-p)
可知:E(X)=5×0.2=1、D(X)=5×0.2×0.8=0.8
(2)方差:D(X)=E(X²)-[E(X)]²
可知:E(X²)=D(X)+[E(X)]²=1.8