Consider the discrete random variable X, with probability generating function: G x (t) = t 2 /5(4

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Consider the discrete random variable X, with probability generating function:

Gx(t) = t2/5(4 + t)

X1 and X2 are two independent observations. Given that Y = X1 + X2, find:

a. Gy(t)

b. The probability distribution of Y.

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