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You toss n coins that turn up heads with probability p independently of one other. For each coin that shows heads, you toss it again.

You toss n coins that turn up heads with probability p independently of one other. For each coin that shows heads, you toss it again. Let X equal the number of heads from the second round of coin tosses.

(a) Find the probability mass function for X. (b) Find E[X]. (c) Find Var[X]

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