Question: Let X be a Poisson random variable with 2 and Y be a Poisson random variable with 4. Assume X and Y are

Let X be a Poisson random variable with 2 and Y be a Poisson random variable with 4. Assume X and Y are independent. Find the following probabilities.

(a) P(X 4, Y 4)

(b) P(X 2, Y 4)

(c) P(2 X 4, Y 3)

(d) P(X 5, 1 Y 4)

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