Speedy Oil provides a single-server automobile oil change and lubrication service. Customers arrive at a rate of 2.5 cars per hour (assume Poisson arrival rate). On average the shop can process a car in 12 minutes (assume exponential service rates). a.) What is the average number of cars in the system? b.) What is the average time a car spends waiting for service to begin? c.) What is the average time a car spends in the system? d.) What is the probability an arriving car has to wait for service? e.) What percentage of time are there 2 or fewer cars in the system?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Speedy Oil provides a single-server automobile oil change and lubrication service.
Customers arrive at a rate of 2.5 cars per hour (assume Poisson arrival rate). On average
the shop can process a car in 12 minutes (assume exponential service rates).
a.) What is the average number of cars in the system?
b.) What is the average time a car spends waiting for service to begin?
c.) What is the average time a car spends in the system?
d.) What is the probability an arriving car has to wait for service?
e.) What percentage of time are there 2 or fewer cars in the system?
Transcribed Image Text:Speedy Oil provides a single-server automobile oil change and lubrication service. Customers arrive at a rate of 2.5 cars per hour (assume Poisson arrival rate). On average the shop can process a car in 12 minutes (assume exponential service rates). a.) What is the average number of cars in the system? b.) What is the average time a car spends waiting for service to begin? c.) What is the average time a car spends in the system? d.) What is the probability an arriving car has to wait for service? e.) What percentage of time are there 2 or fewer cars in the system?
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