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If X1 and X2 denote random sample of size 2 from Poisson distribution, Xi is distributed...

If X1 and X2 denote random sample of size 2 from Poisson distribution, Xi is distributed as Poisson(lambda), find pdf of Y=X1+X2. Derive the moment generating function (MGF) of Y as the product of the MGFs of the Xs.

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