You have two fair coins. The first coin is tossed four times. Let the random variable X be the number of heads showing up in
You have two fair coins. The first coin is tossed four times. Let the random variable X be the number of heads showing up in these four tosses. The second coin is tossed X times. Let Y be the number of heads showing up in the tosses of the second coin. (a) Find the joint probability mass function of X and Y. (b) Find the marginal probability mass function of Y. (c) Find the conditional probability mass function of X given that Y = 2. (d) Find P(X + Y
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