A Marina has a docking facility where two boats at a time can stop
for gas and servicing simultaneously. Assume that arrivals follow a
Poisson probability distribution, with a mean of 5 boats per hour, and
that service times follow an exponential probability distribution, with
a mean of 7 boats per hour.
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 a boat will spend waiting for service?
d. What is the average time a boat will spend at the dock?
e. If you were the manager of the marina, would you be satisfied with
the service level your system will be providing? Why or why not?