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The switchboard in a Minneapolis law office gets an average of 5.5incoming phone calls during the noon hour on Mondays. Experience showsthat the existing staff can handle up to six calls in an hour. Let X = thenumber of calls received at noon.(a) Find the mean and standard deviation of X.(b) What is the probability that the office receives at most six calls atnoon on Monday?(c) Find the probability that the law office receives six calls at noon.What does this mean to the law office staff who get, on average, 5.5incoming phone calls at noon?(d) What is the probability that the office receives more than eight calls at noon?
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