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1. Poisson MGF Let X have Poisson(u) distribution, and let Y independent of X have Poisson (1) distribution. a) Find the mgf of X. b)

1. Poisson MGF Let X have Poisson(u) distribution, and let Y independent of X have Poisson (1) distribution. a) Find the mgf of X. b) Use the result of (a) to show that the distribution of X + Y is Poisson

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