A taxi company has three cabs. Calls come in to the dispatcher at times of a Poisson process with rate 2 per hour. Suppose that each requires an exponential amount of time with mean 20 min, and that callers will hang up if they hear there are no cabs available. (a)What is the probability all three cabs are busy when a call comes in?

(b) In the long run, on the average how many customers are served per hour?