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.

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)