3. An analysis of the data recorded on the telephone lines of ABCEX, an internet provider, reveals that the number of ca

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3. An analysis of the data recorded on the telephone lines of ABCEX, an internet provider, reveals that the number of calls during working hours follows the Poisson law with an average of 3.6 calls per hour. (a) What is the probability that more than three calls are handled on a randomly selected hour? (b) Compute the probability that more than five but fewer than nine calls are handled on any two-hour period. (c) Use an appropriate approximation to compute the probability that more than 160 calls are handled in a week. Assume that a week has fifty working hours. (d) Compute the probability that three calls are handled on a given working hour while five calls are handled during the following hour. Explain, briefly and clearly, the thinking behind your computation.