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  3. 3 suppose that x and y are two independent random

3 Suppose that X and Y are two independent random variables P X a Y...

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3 Suppose that X and Y are two independent random variables P X a Y b P X a P Y b for any a b and X Binom n p and Y Binom m p Compute the probability P X Y k and show that X Y has a binomial distribution with parameters n m and p Hint Use n m m m 8 F 1 0

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