A petrol pump station has 4 pumps. The service times follow the exponential distribution with a mean of 6 min and cars arrive for service in a Poisson process at the rate of 30 cars per hour. (a) What is the probability that an arrival would have to wait in line?

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
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A petrol pump station has 4 pumps. The service times follow the exponential
distribution with a mean of 6 min and cars arrive for service in a Poisson process
at the rate of 30 cars per hour.
(a) What is the probability that an arrival would have to wait in line?
Transcribed Image Text:A petrol pump station has 4 pumps. The service times follow the exponential distribution with a mean of 6 min and cars arrive for service in a Poisson process at the rate of 30 cars per hour. (a) What is the probability that an arrival would have to wait in line?
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