Sports fans tune to a local sports talk radio station according to a Poisson process with the rate of three fans every two minutes and listen it for an Exponential amount of time with the average of 20 minutes.
(a) What queuing system is the most appropriate for this situation?
(b) Compute the expected number of concurrent listeners at any time.
(b) Find the fraction of time when 40 or more fans are tuned to this station.