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Customers arrive at an automated coffee vending machine at

Customers arrive at an automated coffee vending machine at a rate of 3 per minute, following a Poisson distribution. The coffee machine dispenses a cup of coffee in exactly 15 seconds.
a. What is the average number of people waiting in line?
b. What is the average number in the system?
c. How long does the average person wait in line before receiving service?

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