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1. We toss n coins, and each one shows heads with probability p, independently each of the others. Each coin which shows heads is tossed

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1. We toss n coins, and each one shows heads with probability p, independently each of the others. Each coin which shows heads is tossed again. Let X be the number of heads in the first toss of n coins, and Y' be the number of heads in the second toss of X coins. a) Find P (Y = j [X = k) , 0

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