A new (Azoz) Company located on the Ohio River near Madison, Indiana, Assume that new (Azoz) Company 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 12 boats/hour, and that service times rate of 10 boats/hour, Answer the following questions:

a. What is the probability that no boats will be in the system within 15 minutes?

b. What is the maximum number of boats that will be waiting for service within 25 minutes?

c. What is the average time which the boat will spend waiting for service within 15 minutes?

d. What is the probability that more than 3 boats will be stop for services within 20 minutes?

e. use the results in (c) to answer If you were the manager of new (Azoz) Company , would you be satisfied with the service of level your system will be providing? Why if yes or why if not?