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# Problem D: Suppose X1, .,X, are independent random variables. Let Y be their sum, that is...

## Question

###### Problem D: Suppose X1, .,X, are independent random variables. Let Y be their sum, that is... Problem D: Suppose X1, .,X, are independent random variables. Let Y be their sum, that is Y 1Xi Find/prove the mgf of Y and find E(Y), Var(Y), and P (8 Y 9) if a) X1,.,X4 are Poisson random variables with means 5, 1,4, and 2, respectively. b) [separately from part a)] X,., X4 are Geometric random variables with p 3/4. i=1

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