The new Fore and Aft Marina is to be located on the Ohio River near Madison, Indiana. Assume that Fore and Aft decided to build a docking facility where one boat at a time can stop for gas and servicing. Assume that arrivals follow a Poisson probability distribution, with an arrival rate of 5 boats per hour, and that service times follow an exponential probability distribution, with a service times follow an exponential probability distribution, with a service rate of 10 boats per hour. Answer the following questions:
What is the probability that no boats are in the system?
What is the average number of boats that will be waiting for service?
What is the average time a boat will spend waiting for service?