Problem 11-17 (Algorithmic) The new Fore and Aft Marina is to be located on the Ohio River near Madison, Indiana. Assume that Fare and Aft decides to build a dacking facility where one boat at a time can stop for gas and servicing. Assume that arrivals follow a Poissan 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. The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two hoats can ston for gas and servicing simultaneously. Note: Use Po values from Table 11.1 to answer the questions below. a. What is the probability that the boat dock will be idle? Round your answer ta four decimal places X b. What is the average number af baats that will be waiting for service? Round your answer to four decimal places. X c. What is the average time a boat will spend waiting for service? Round your answer to four decimal places, Wa- X hours d. What is the average time a boat will spend at the dock? Round your answer to four decimal places. W- X hours e. If you were the manager of Fore and Aft Marina, would you be satisfied with the service level your system will e providing? Yes Why or why not? Round your answers to whole numbers. Because the average wait time is Seconds. Each channel is idle War the time