Question: Let X be a Poisson random variable with parameter2, and let Y be a geometric random variable with parameter p = 2/3 . Suppose that

Let X be a Poisson random variable with parameter2, and let

Y be a geometric random variable with parameter p = 2/3 .

Suppose that X and Yare independent, and let Z = X +Y.

Find P(Z = 3).

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