An average of 40 cars per hour (interarrival times are exponentially distributed) are tempted to use the drive-in window at the Hot Dog King Restaurant. If a total of more than 4 cars are in line (including the car at the window) a car will not enter the line. It takes an average of 4 minutes(exponentially distributed) to serve a car.
a. What is the average number of cars waiting for the drive-in window (not including a car at the window)?
b. On the average, how many cars will be served per hour?
I have just joined the line at the drive-in window. On the average, how long will it be before I have received my food?