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On a county road there is a gas pump. Vehicle arrivals at jet are produced according to a Poisson process of mean 10 an hour while the Average service time is 4 minutes per customer, this being exponential. a) Calculate the probability that when a vehicle arrives, the pump is empty. b) When a vehicle arrives in the system, what is the expected number of vehicles that find it in the queue?

On a county road there is a gas pump. Vehicle arrivals at jet are produced according to a Poisson process of mean 10 an hour while the Average service time is 4 minutes per customer, this being exponential. a) Calculate the probability that when a vehicle arrives, the pump is empty. b) When a vehicle arrives in the system, what is the expected number of vehicles that find it in the queue?

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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On a county road there is a gas pump. Vehicle arrivals at jet are produced according to a Poisson process of mean 10 an hour while the Average service time is 4 minutes per customer, this being exponential. a) Calculate the probability that when a vehicle arrives, the pump is empty. b) When a vehicle arrives in the system, what is the expected number of vehicles that find it in the queue? c) Calculate the average time of a car in the service station.
Transcribed Image Text:On a county road there is a gas pump. Vehicle arrivals at jet are produced according to a Poisson process of mean 10 an hour while the Average service time is 4 minutes per customer, this being exponential. a) Calculate the probability that when a vehicle arrives, the pump is empty. b) When a vehicle arrives in the system, what is the expected number of vehicles that find it in the queue? c) Calculate the average time of a car in the service station.
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