Question: 5. Let X1, X2, . . . , Xn be n independent gamma random variables with parameters (r1, ), (r2, ), ... , (rn, ),

5. Let X1, X2, . . . , Xn be n independent gamma random variables with parameters (r1, λ), (r2, λ), ... , (rn, λ), respectively. Use moment-generating functions to find the probability distribution function of X1 + X2 + · · · + Xn.

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