Assignment:
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?
Provide complete and step by step solution for the question and show calculations and use formulas.