Question: 1 . A cafeteria s serving line has a coffee urn ( percolator ) from which students serve themselves. Arrivals at the urn follow a

1. A cafeterias serving line has a coffee urn (percolator) from which students serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of three per minute. In serving themselves, students take about 15 seconds, exponentially distributed.
Arrival rate = l
Service rate = m
a. How many customers would you expect to see on average in the line for coffee?
b. How long would you expect it to take to get a cup of coffee?
Remember the following equations for the length of the line and the wait time in the line:

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