Suppose that X 1 , X 2 , . . . , X k are independent negative

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Suppose that X1, X2, . . . , Xk are independent negative binomial random variables with parameters r1 and p, r2 and p, . . ., and rk and p, respectively. Let X = X1 + X2+・ ・ + Xk. Find MX(t), pX(t), E(X), and Var(X).

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