The new Fore and Aft Marina is to be located on the Ohio River near Madison, Indiana. Assume that Fore and Aft decided 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 5 boats per hour, and that service times follow an exponential probability distribution, with a service times follow an exponential probability distribution, with a service rate of 10 boats per hour. Answer the following questions:

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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  • The new Fore and Aft Marina is to be located on the Ohio River near Madison, Indiana. Assume that Fore and Aft decided 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 5 boats per hour, and that service times follow an exponential probability distribution, with a service times follow an exponential probability distribution, with a service rate of 10 boats per hour. Answer the following questions:
  1. What is the average time a boat will spend waiting for service?
  2. What is the average time a boat will spend at the dock?
  3. 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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ISBN:
9781337282291
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Ron Larson
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