(Solution Library) Let X be given by its distribution function F(x), such that (25 points) F(x)=0, if x≤ 0 F(x)=x^3, if 0 x≤ 1 F(x)=1, if x 1 Find E(X),
Question: Let \[X\] be given by its distribution function \[F(x)\] , such that (25 points)
\[F(x)=0\] , if \[x\le 0\] \[F(x)={{x}^{3}}\] , if 0 \[x\le 1\] \[F(x)=1\] , if \[x\] 1Find \[E(X)\] , \[Var(X)\] , \[\sigma (X)\]
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