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:What is the probability that no boats are in the system?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?

Name: The new Fore and Aft Marina is to be located on the Ohio River near Ma
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Description: 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 probabil

Given that the arrival rate follows Poisson distribution with a rate of 5 boats per hour. That is, λ…

Answered: The new Fore and Aft Marina is to be…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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:

What is the probability that no boats are in the system?
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?

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