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The switchboard in a Minneapolis law office gets an average of 5.5 incoming ph...

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The switchboard in a Minneapolis law office gets an average of 5.5

incoming phone calls during the noon hour on Mondays. Experience shows

that the existing staff can handle up to six calls in an hour. Let X = the

number 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 at

noon 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, 5.5

incoming phone calls at noon?

(d) What is the probability that the office receives more than eight calls

at noon?

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