A cook at the short order counter in the student union, Operation Management

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A cook at the short order counter in the student union

A cook at the short order counter in the student union snack bar works in the evenings. He is the only one on duty at the counter during the hours he works. Arrivals to the counter seem to follow the Poisson distribution with a mean of 12 per hour. Each customer is served one at a time and the service time follows an exponential distribution with a mean of 4 minutes. What is the average length of the waiting line?

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