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Question

Altug's Coffee Shop decides to install an automatic coffee vending machine outside one of its stores to reduce the number of people standing in line inside. Mehmet Altug charges $3.50\$3.50 per cup. However, it takes too long for people to make change. The service time is a constant 3 minutes, and the arrival rate is 15 per hour (Poisson distributed).

What is the average number of people in line?

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For this problem, we are asked to determine the number of customers waiting in the queue, on average.

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