算不来了，均匀分布的平方的均值

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设随机变量X～U(a,b)，X的均值E(X)=(a+b)/2，方差D(X)=(b-a)^2/12，求E(X^2)=？

2 replies • 2016-10-13 21:45:07 +08:00

DiamondbacK

Oct 13, 2016

查维基百科「数学期望」，就能看到佚名统计学家公式 (Law of the unconscious statistician)，具体计算就很简单了。

srlp

Oct 13, 2016 via iPhone

var(x) = E(x^2) - E(x)^2