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Need help with these questions. All of them. Thanks 1. Suppose that X is a discrete random variable with P(X = 0) = .25, P(X

Need help with these questions. All of them. Thanks

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1. Suppose that X is a discrete random variable with P(X = 0) = .25, P(X = 1) = 125, P(X = 2) = .125, and P(X = 3) = .5. Graph the frequency function and the cumulative distribution function of X. 2. An experiment consists of throwing a fair coin four times. Find the frequency function and the cumulative distribution function of the following random vari- ables: (a) the number of heads before the first tail, (b) the number of heads following the first tail, (c) the number of heads minus the number of tails, and (d) the number of tails times the number of heads. 14. Two boys play basketball in the following way. They take turns shooting and stop when a basket is made. Player A goes first and has probability p1 of mak- ing a basket on any throw. Player B, who shoots second, has probability p2 of making a basket. The outcomes of the successive trials are assumed to be inde- pendent. a. Find the frequency function for the total number of attempts. b. What is the probability that player A wins

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