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Students arrive at the Administrative Services Office at an average of one every...continues

Students arrive at the Administrative Services Office at an average of one every 12 minutes, and their requests take on average 10 minutes to be processed. The servicecounter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. Required: (a) Whatpercentage of time is Judy idle? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) (b) How much time, on average, does a student spendwaiting in line? (Round your answer to the nearest whole number.) (c) How long is the (waiting) line on average? (Round your answer to 2 decimal places.) (d) What isthe probability that an arriving student (just before entering the Administrative Services Office) will find at least one other student waiting in line? (Round youranswer to 3 decimal places.)
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