Show that if X is a Weibull random variable with
Chapter , Problem 24(choose chapter or problem)
Show that if X is a Weibull random variable with parameters \((\alpha, \beta)\), then
\(\operatorname{Var}(X)=\alpha^{-2 / \beta}\left[\Gamma\left(1+\frac{2}{\beta}\right)-\left(\Gamma\left(1+\frac{1}{\beta}\right)\right)^{2}\right]\)
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