Question: roblem 1 . ( 1 0 pts ) Students arrive at the Administrative Services Office at an verage of one every 1 5 minutes, and

roblem 1.(10 pts) Students arrive at the Administrative Services Office at an
verage of one every 15 minutes, and their requests take on average 10 minutes to be
rocessed. The service counter is staffed by only one clerk, Judy, who works eight
ours per day. Assume that the interarrival times and the service times follow
xponential distribution.
a. What percentage of time is Judy idle?
b. How much time, on average does a student spend waiting in line?
c. How long is the (waiting) line on average?
d. What is the probability that there are at least 3 students in the system?
roblem 1.(10 pts) Students arrive at the Administrative Services Office at

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