Expect to see on the average at the coffee urn

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Reference no: EM132250289

Please work out E and F specifically. I have a - d worked out but I would like to see your solutions.

A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of three per minute. In serving themselves, customers take about 15 seconds, exponentially distributed.

A. How many customers would you expect to see on the average at the coffee urn? Average number of customers ___________________

B. How long would you expect it to take to get a cup of coffee? Expected time ___________________ minutes

C. What percentage of time is the urn being used? Percentage of time _____________________

D. What is the probability that three or more people are at the coffee urn?

E. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 15 seconds, how many customers would you expect to see at the coffee urn?

F. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 15 seconds, how long would you expect it to take in minutes to get a cup of coffee, including waiting time?

Reference no: EM132250289

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