The manager of the Fore and Aft Marina in the previous problem wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Assume that the arrival rate is 5 boats per hour and that the service rate for each server is 10 boats per hour. What is the probability that the boat dock will be idle? What is the average number of boats that will be waiting for service? What is the average time a boat will spend waiting for service? What is the average time a boat will spend at the dock? 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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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  • The manager of the Fore and Aft Marina in the previous problem wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Assume that the arrival rate is 5 boats per hour and that the service rate for each server is 10 boats per hour.
  1. What is the probability that the boat dock will be idle?
  2. What is the average number of boats that will be waiting for service?
  3. What is the average time a boat will spend waiting for service?
  4. What is the average time a boat will spend at the dock?
  5. 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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