Consider a queueing system with two classes of customers, type A and type B. Type A customers arrive according to a Poisson process of rate λA and customers of type B arrive according to an...

Consider a queueing system with two classes of customers, type A and type B. Type A customers arrive according to a Poisson process of rate λA and customers of type B arrive according to an independent Poisson process of rate λB. The queue has a FCFS server with exponentially distributed IID service times of rate µ > λA + λB. Characterize the departure process of class A customers; explain carefully.