Question 2: Poisson distribution (30 Points] A transmitter requires reparation on average once every four months. Every
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Question 2: Poisson distribution (30 Points] A transmitter requires reparation on average once every four months. Every
Question 2: Poisson distribution (30 Points] A transmitter requires reparation on average once every four months. Every reparation costs the company 250 KD. Suppose that the number of transmitter repairing follows a Poisson distribution. a) What is the probability that a transmitter will need repairing three times in four months? [5 points) b) What is the probability that a transmitter will need repairing three times in one year? [5 points) c) What is the probability that a transmitter will need repairing at least three times in one year? [5 points) d) What is the expected number of reparations in one year? [5 points) e) What is the expected yearly cost to the company for transmitter repairing? (10 points)