(2.) Consider an M/M/ queue. In other words, a queue with an infinite number of servers. In such a queue customers never need to wait for service because there is always a server free no matter how many customers are in the system. Let \ > 0 denote the rate of arrivals in such a process and > 0 denote the service rate of a single server. Show that a stationary distribution always exists and is given by the Poisson distribution with parameter \/.