# A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the…

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 3.5 per minute. In serving themselves, customers take about 15 seconds, exponentially distributed

a. How many customers would you expect to see, on average, at the coffee urn?

Average no of customers
4. b. How long would you expect it to take to get a cup of coffee? Expected time 0.53 minute c. What percentage of time is the urn being used? (
Percentage of time 80.0 %
d. What is the probability that three or more people are in the cafeteria?
Probability 0.1%
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 (waiting and/or pouring coffee)?
Average no of customers
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? Expected time minimum

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