Services Processes 1 answer below »

Students arrive at the Administrative Services Office at an average of one every 12 minutes, and their requests take on average 8 minutes to be processed. The
service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times.

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A) What percentage of time is Judy idle? (round answer to 2 decimal points)

B)How much time, on average, does a student spend waiting in line? (round answer to nearest whole number)

C)How long is the (waiting) line on average? (round answer to 2 decimal points)

D)What is the probability that an arriving student (just before entering the Administrative Services Office) will find at least one other student waiting in
line? (round answer to 4 decimal points)