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Discrete RVs. Suppose you are purchasing lottery tickets in succession until you Win once and then stop. The probability of Winning associated with each ticket

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Discrete RVs. Suppose you are purchasing lottery tickets in succession until you Win once and then stop. The probability of Winning associated with each ticket is p, independent of previous result. Now, dene the random variable X as the number of tickets you purchased. a. What is the PMF and CDF of X? b. Can you identify the distribution? 0. What is the probability that you buy at least 5 tickets? d. Suppose you purchased 5 tickets and did not experience a win. What is the probability that you buy at least 5 more tickets? Make a remark by comparing this to your answer for part c

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