The new Heaven Sight Marina is located in the Long Bay near Charlotte Amalie, St. Thomas, USVI. Assume that Heaven Sight Marina decides 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 8 boats per hour, and that service times follow an exponential probability distribution, with a service rate of 10 boats per hour. Answer the following questions using the computer output.
a. What is the probability that no boats are in the system?
b. What is the average number of boats that will be waiting in the line for service?
c. What is the average time in minutes that the boat will be waiting in line for service?
d. What is the average time in minutes a boat will spend in the system?
e. If you were the manager of Heaven Sight Marina, would you be satisfied with the service level your system is providing? Why or why not?