E(X-EX)^2怎么等于EX^2-(EX)^2

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E(X-EX)^2怎么等于EX^2-(EX)^2

E(X-EX)^2怎么等于EX^2-(EX)^2
E(X-EX)^2怎么等于EX^2-(EX)^2

E(X-EX)^2怎么等于EX^2-(EX)^2
E(X-EX)^2=E(X^2-2XEX+(EX)^2)=E(X^2)-E(2XEX)+E(EX)^2)=E(X^2)-2(EX)^2+(EX)^2)=EX^2-(EX)^2