Let (X_{1}, X_{2}, ldots, X_{50}) be independent and let each have the same marginal distribution with mean

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Let \(X_{1}, X_{2}, \ldots, X_{50}\) be independent and let each have the same marginal distribution with mean -5 and variance 8 . Find

(a) \(E\left(X_{1}+X_{2}+\cdots+X_{50}\right)\);

(b) \(\operatorname{Var}\left(X_{1}+X_{2}+\cdots+X_{50}\right)\).

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