A fast-food franchise is considering operating a drive-up window food- service operation. Assume that customer arrivals follow a Poisson probability distribution, with an arrival rate of 24 cars per hour, and that service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive to the service window to pay for and receive their orders. Consider a two-channel operation with two service windows and two employees. The employee stationed at each window fills the order and takes the money from customers arriving at the window. The average service time for this alternative is 3 minutes for each channel.

REQUIRED:

a. What is the probability that no cars are in the system?

(In fraction form, example: 2/5)

b. What is the average number of cars waiting for service?

(In fraction form, example: 2/5)

c. What is the average number of cars in the system?

(In fraction form, example: 2/5)

d. What is the average time a car waits for service (in hours)?

(In fraction form, example: 2/5)