Problem 15-7 (Algorithmic)

Speedy Oil provides a single-server automobile oil change and lubrication service. Customers provide an arrival rate of 2.5 cars per hour. The service rate is 4 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution.

1. What is the average number of cars in the system? If required, round your answer to two decimal places L = fill in the blank 1
2. What is the average time that a car waits for the oil and lubrication service to begin? If required, round your answer to two decimal places. W_q = fill in the blank 2 hours
3. What is the average time a car spends in the system? If required, round your answer to two decimal places. W = fill in the blank 3 hours
4. What is the probability that an arrival has to wait for service? If required, round your answer to two decimal places. P_w = fill in the blank 4