Speedy oil provides a single channel automobile oil change and lubrication service. Customers provide an arrive rate of 2.5 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution.
a) What is the average time of cars in the system ?
b) What is the average time that a car waits for oil and lubrication service to begin?
c) What is the average time a car spend in the system?
d) What is the probability that an arrival has to wait for service?