Arrivals at a telephone booth are considered to be Poisson with an average time of 10 minutes between one arrival and the next. The duration of a phone call is assumed to be distributed exponentially with mean 3 minutes. Find the following. (b) Fraction of the time the phone will be in use.
Explanation
The fraction of the time the phone will be in use can be calculated using the formula P(in use) = λ / (λ + μ), where λ is the arrival rate and μ is the service rate.
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