7.4 People arrive at a phone booth according to a Poisson process with a mean rate of...
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7.4 People arrive at a phone booth according to a Poisson process with a mean rate of five people per hour. The duration of calls made at the phone booth is exponentially distributed with a mean of 4 min.
a. What is the probability that a person arriving at the phone booth will have to wait?
b. The phone company plans to install a second phone at the booth when it is convinced that an arriving customer would expect to wait at least 3 min before using the phone. At what arrival rate will this occur?
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