Let (y) follow the negative binomial distribution (6.20). Show that (E(y)=mu) and (operatorname{Var}(y)=mu(1+alpha mu)), where (alpha) is

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Let \(y\) follow the negative binomial distribution (6.20). Show that \(E(y)=\mu\) and \(\operatorname{Var}(y)=\mu(1+\alpha \mu)\), where \(\alpha\) is the dispersion parameter for the negative binomial distribution.

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