The new Fore and At Marina is to be located on the Ohio River near Madison, Indiana. Assume that Fore and Aft decides to build a docking facility where one boat at a time can stop for gas and servicing. Assume that arrivals follow a Polsson probability distribution, with an arrival rete of 6 boats per houk, and that service times follow an exponential probability distribution, with a service rate of 8 boats per hour. The manager of the Fore and Ant Marina wants to imvestigate the possibility of enlarging the docking facitity so that two boats can stop for gas and servicing simultaneously. Note: Use Po values from Table 11.4 to answer the questions below. a. What is the probability that the boat dock will be idle? Round your answer to four decimal places. p0=x b. What is the average number of boats that wal be waiting for service? Round vour answer to four decimal places. tq= c. What is the average time a boot will spend waiting for service? Round vour answer to four decimal places. W9= d. What is the average time a boat will soend at the dock? Round your answer to four decimal places. W=xhours e. If you were the manager of Fore and Af Marina, would you be satished with the service leved your syatem will be providing? Why or why not? Round your answers to whole numbers. Becouse the average wait time is X seconds, Each chantel is lide x w of the time