# Question: Let X1 X2 X3 X4 X5 be a random sample

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 of Y = X1 + X2 + X3 + X4 + X5.

(b) How is Y distributed?

(a) Find the mgf of Y = X1 + X2 + X3 + X4 + X5.

(b) How is Y distributed?

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