A telephone-order sales company must determine how many telephone operators are needed to staff the phones during the 9-to-5 shift. It is estimated that an average of 480 calls are received during this time period and that the average call lasts for six minutes. There is no queueing. If a customer calls and all operators are busy, this customer receives a busy sig- nal and must hang up. If the company wants to have at most one chance in 100 of a caller receiving a busy signal, how many operators should be hired for the 9-to-5 shift? Base your answer on an appropriate simulation. Does it matter whether the service times are exponentially distributed or gamma distributed? Experiment to find out.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A telephone-order sales company must determine
how many telephone operators are needed to staff
the phones during the 9-to-5 shift. It is estimated that
an average of 480 calls are received during this time
period and that the average call lasts for six minutes.
There is no queueing. If a customer calls and all

operators are busy, this customer receives a busy sig-
nal and must hang up. If the company wants to have

at most one chance in 100 of a caller receiving a
busy signal, how many operators should be hired for
the 9-to-5 shift? Base your answer on an appropriate
simulation. Does it matter whether the service times
are exponentially distributed or gamma distributed?
Experiment to find out.

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