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Speedy Oil provides a single-channel automobile oil change and lubrication service. Customers provide an arrival rate...

Speedy Oil provides a single-channel automobile oil change and lubrication service. Customers provide an arrival rate of 2.5 cars per hour. A mechanic needs 15 minutes to serve one car. Assume Poisson arrivals and exponential service time (show steps)

A) What is the average number of cars in the system (auto shop)

B) What is the probability that an arrival has to wait for service

C) What is the average time that a car waits for the oil and lubrication

D) What is the average time a car spends in the auto shop

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