Question: Let X1, X2, X3, X4, X5 be a random sample of size 5 from a geometric distribution with p = 1/3. (a) Find the mgf

Let X1, X2, X3, X4, X5 be a random sample of size 5 from a geometric with p = 1/3.
(a) Find the mgf of Y = X1 + X2 + X3 + X4 + X5.
(b) How is Y distributed?

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