What is the probability that the boat dock will be idle


The manager of the Fore and Aft Marina in Problem 16 wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Assume that the mean arrival rate is 5 boats per hour and that the mean service rate for each channel is 10 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 Fore and Aft Marina, would you be satisfied with the service level your system will be providing? Why or why not?

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Basic Statistics: What is the probability that the boat dock will be idle
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