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设X是随机变量,E(X)=-2 D(X)=4则 求E(2X的平方+6)
人气:330 ℃ 时间:2020-01-26 12:43:16
解答
E(2X²+6) = 2E(X²)+E(6) =2E(X²)+6
而 D(X) = E(X²)-(E(X))²,即 4= E(X²)-(-2)² =E(X²)-4
得 E(X²)-=8
所以E(2X²+6) =16+6=22那求E【2(X的平方-3)】呢?E(2(X²-3))E(2X²-6) = 2E(X²)+E(-6) =2E(X²)-6而 D(X) = E(X²)-(E(X))²,即 4= E(X²)-(-2)² =E(X²)-4得 E(X²)-=8所以E(2X²+6) =16-6=10
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