A cafeteria serving line has coffee urn

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Reference no: EM132296075

A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Possion distribution at a rate of 2.5 per minute. In serving themselves, customers take about 20 seconds, exponentially distributed.

a. How many customers would you expect to see on average at the coffee urn? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

b. How long would you expect it to take to get a cup of coffee? (Round your answer to 2 decimal places.)

c. What percentage of time is the urn being used? (Do not round intermediate calculations. Round your answer to 1 decimal place.)

d. What is the probability that three or more people are in the cafeteria? (Round intermediate calculations to 3 decimal places and final answer to 1 decimal place.)

e. If the cafeteria installs an automatic vendor that dispenses a cup a coffee at a constant time of 20 seconds, how many customers would you expect to see at the coffee urn (waiting and/or pouring)? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

f. If the cafeteria installs an automatic vendor that dispenses a cup a coffee at a constant time of 20 seconds, how long would you expect it to take (in minutes) to get a cup of coffee, including waiting time? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Reference no: EM132296075

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