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Two players alternate ?ipping a coin that comes up heads with probability p. The ?rst one to obtain a head is declared the winner. We are interested in the probability that the ?rst player to ?ip is the winner. Before determining this probability, which we will call f (p), answer the following questions.

(a) Do you think that f (p) is a monotone function of p? If so, is it increasing or decreasing?

(b) What do you think is the value of limp→1 f (p)?

(d) Find f (p).

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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