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Each day, it rains independently with probability 1/3. Let N be the number of days of rain before the first day without rain. (a) Write

Each day, it rains independently with probability 1/3. Let N be the number of days of rain before the first day without rain. (a) Write down the probability mass function of N . (b) What is the name of the distribution of N ? (c) What is the most likely value of N ? (d) Calculate the probability that N 5.

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