Consider three tosses of a fair coin. (a) Find the probability distribution function for X = number of tails. 0 1 2 3 (b) Find the probability distribution function for Y = the difference between the number of heads and the number of tails. -3 -1 1 3 (c) Find the probability distribution function for Z = the sum of the number of heads and the number of tails. 0 1 2 3

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