A radio station gives a concert ticket to the sixth caller who knows the birthday of theperformer. For each person who calls, the probability of knowing the performer’s birthdayis p. All calls are independent.
(a) What is the PMF of L, the number of calls necessary to find the winner?
(b) What is the CDF of L?
(c) What is the probability of finding the winner on the tenth call?
(d) What is the probability that the station will need nine or more calls to find a winner?
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