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10. Let X1, X2.... Xn be independent random variables with Xi Exponential (). Define Y = X1 + X2 + + Xn Then Y has

10. Let X1, X2.... Xn be independent random variables with Xi Exponential ().

Define

Y = X1 + X2 + + Xn

Then Y has a Gamma distribution with parameters n and . Find EY and Var(Y ).

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