Customers arrive at a single-server queueing system in accordance with a Poisson process with an expected interarrival time of 25 minutes. Service times have an exponential distribution with a mean of 30 minutes. Label each of the following statements about this system as true or false, and then justify your answer.
(a) The server definitely will be busy forever after the first customer arrives.
(b) The queue will grow without bound.
(c) If a second server with the same service-time distribution is added, the system can reach a steady-state condition.