Cars arrive at the drive-thru windows at a local fast food at the rate of 4 every 10minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed.
a. What is the system utilization? What percentage of the time is the server busy?
b. What is the average time a car is in the system? What is the average number of cars in the system?
c. What is the average number of cars waiting to receive service? What is the average time a car is in queue?
d. What is the probability that there are exactly 4 cars in the system?