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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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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 probability that a customer arriving at the pump will have to wait.
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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