X服从参数为(2,0.2)的二项分布,则E(X²)=( ).
X服从参数为(2,0.2)的二项分布,则E(X²)=( ).
【正确答案】:0.48
【题目解析】:(1)二项分布X~B(n,p),则E(X)=np;D(X)=np(1-p)本题,n=2,p=0.2,E(X)=2×0.2=0.4、D(X)=2×0.2×0.8=0.32(2)方差:D(X)=E(X²)-[E(X)]²可知:E(X²)=D(X)+[E(X)]²=0.32+0.16=0.48
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