Question: Question #2 Students arrive at the reference desk at the Weinberg Library at the rate of one every 6 minutes. Requests can be handled at

Question #2

Students arrive at the reference desk at the Weinberg Library at the rate of one every 6 minutes. Requests can be handled at the rate of one every 5 minutes.

If the arrival rate and service rates are precise (i.e. exactly one arrival every 6 minutes, and exactly 5 minutes to serve each student):

How long on average does an arriving student have to wait in line?

Assume that the interarrival time has a mean of 6 minutes and standard deviation of 6 minutes. Likewise the service time has a mean of 5 minutes and standard deviation of 5 minutes.

How long on average does an arriving student have to wait in line?
What is the average length of the queue?

Now assume that the interarrival time has a mean of 6 minutes and standard deviation of 9 minutes, and that the service time has a mean of 5 minutes and standard deviation of 4 minutes.

How long on average does an arriving student have to wait in line?

What is the average length of the queue?

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