Question: An athletic facility has five tennis courts. Players arrive at the courts at a Poisson rate of one pair per 10 min and use a court for an exponentially distributed time with mean 40 min.
(a) Suppose that a pair of players arrives and finds all courts busy and k other pairs waiting in queue. How long will they have to wait to get a court on the average?
(b) What is the average waiting time in queue for players who find all courts busy on arrival?