Problem: The Fore and Aft Marina is located on the Ohio River near Madison, Indiana. Fore and Aft currently operates a docking facility where only one boat at a time can stop for gas and servicing.
The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Assume that the arrival rate is 4 boats per hour and that the service rate for each server is 9 boats per hour. (Round your answers to four decimal places.)
a. What is the probability that the boat dock will be idle?
b. What is the average number of boats that will be waiting for service?
c. What is the average time (in hours) a boat will spend waiting for service?
d. What is the average time (in hours) a boat will spend at the dock?