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2. Each day, it rains independently with probability 1/3. Let N be the number of days of rain before the first day without rain. [3] [2] (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. [3] [7] (15 marks]
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