Altugs Coffee Shop decides to install an automatic coffee ve

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 per cup. However, it takes too long for people to make change. The service time is a constant 2.00 minutes, and the arrival rate is 20 per hour (Poisson distributed).
a) What is the average wait in line?
b) What is the average number of people in line?

Solution