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22. There are two coins, one with probability p 1 of Heads and the other with probability p 2 of
Heads. One of the coins is randomly chosen (with equal probabilities for the two coins). It is then
flipped n 2 times. Let X be the number of times it lands Heads. (a) Find the PMF of X .

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  • 1. 22. There are two coins, one with probability p 1 of Heads and the other with probability p 2 of Heads. One of the coins is randomly chosen (with equal probabilities for the two coins). It is then flipped n 2 times. Let X be the number of times it lands Heads. (a) Find the PMF of X .