Jamuna future park has one parking counter. From previous experience, it is estimated that cars arrive according to Poisson distribution at a rate of 2 every 5 minutes and that there is enough space to accommodate a line of 3 cars. Other arriving cars can wait outside the space, if necessary. It takes 1.5 minutes on an average to serve a customer. However, the service time usually varies according to exponential distribution. Requirements: i. Determine the average time that the counter is free on an 8-hour working day. Determine the probability of having 5 cars in the queue. Determine the probability that a customer shall wait for more than 4 minutes in the queue. ii. iii.
Jamuna future park has one parking counter. From previous experience, it is estimated that cars arrive according to Poisson distribution at a rate of 2 every 5 minutes and that there is enough space to accommodate a line of 3 cars. Other arriving cars can wait outside the space, if necessary. It takes 1.5 minutes on an average to serve a customer. However, the service time usually varies according to exponential distribution. Requirements: i. Determine the average time that the counter is free on an 8-hour working day. Determine the probability of having 5 cars in the queue. Determine the probability that a customer shall wait for more than 4 minutes in the queue. ii. iii.
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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