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. (a) What is the probability that a person arriving at the booth will have to wait?
Explanation
The probability of waiting can be calculated using the formula P(waiting) = λ / (λ + μ), where λ is the arrival rate and μ is the service rate.
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