Students arrive at theAdministrative Services Office at an average of one every 20minutes, and their requests take on average 16 minutes to beprocessed. The service counter is staffed by only one clerk, JudyGumshoes, who works eight hours per day. Assume Poisson arrivalsand exponential service times.
a.What percentage of time is Judy idle? (Round your answer to1 decimal place.)
b.How much time, on average, does a student spend waiting in line?(Do not round intermediate calculations. Round your answerto 1 decimal place.)
c.How long is the (waiting) line on average? (Round youranswer to 2 decimal places.)
d.What is the probability that an arriving student (just beforeentering the Administrative Services Office) will find at least oneother student waiting in line? (Do not round intermediatecalculations. Round your answer to 4 decimal places.)
