设E(X)=-1,D(X)=4,由切比雪夫不等式估计概率P{-4<X<2}≥_____.

题目类型: 问答题

题目内容

设E(X)=-1,D(X)=4,由切比雪夫不等式估计概率P{-4<X<2}≥_____.

正确答案

5/9 P{-4<X<2}=P{-3<X-E(X)<3}=P{{X-E(X)|<3}≥1-D(X)/9=1-4/9=5/9

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