Auto vehicles arrive at a petrol pump with one petrol unit in Poisson fashion, averaging 10 units per hour. The service time is distributed exponentially with a mean of 3 minutes. Find the following:a) Average number of units in the systemb) Average waiting time for customersc) The average length of the queued) The probability that a customer arriving at the pump will have to wait.e) The utilization factor for the petrol pumpf) The probability that the number of customers in the system is 2.
Auto vehicles arrive at a petrol pump with one petrol unit in Poisson fashion, averaging 10 units per hour. The service time is distributed exponentially with a mean of 3 minutes. Find the following:a) Average number of units in the systemb) Average waiting time for customersc) The average length of the queued) The probability that a customer arriving at the pump will have to wait.e) The utilization factor for the petrol pumpf) The probability that the number of customers in the system is 2.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
Auto vehicles arrive at a petrol pump with one petrol unit in Poisson fashion, averaging 10 units per hour. The service time is distributed exponentially with a mean of 3 minutes. Find the following:
a) Average number of units in the system
b) Average waiting time for customers
c) The average length of the queue
d) The
e) The utilization factor for the petrol pump
f) The probability that the number of customers in the system is 2.
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