Students arrive at the Administrative Services Office at an average of one every 15 min., and their requests take on average 10 min. to be processed. The servie 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?
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 an arriving student (just before entering at he administrative services office) will find at least one other student waiting in line?