Assume that for a gas station car wash one car can be serviced at a time. The arrivals follow a Poisson probability distribution, and the service times follow an exponential probability distribution. The following Operating Characteristics are from a queuing model that you created with time units specified in hours:

Po = 0.4000

Lq = 0.9000

L = 1.5000

Wq = 0.2000

W = 0.3000

Pw = 0.6000

With this information, prepare a report for the owner of the gas station explaining the answers to these five questions:

1. What is the average time, in minutes, a customer waits in line before being served?

2. What is the average time, in minutes, a customer spends waiting and being served?

3. What is the average number of customers in the system?

4. What is the probability that there are no customers in the system?

5. If the system serves a customer every 4 minutes, what is the service rate?