stat week 5

Working at the car wash (M/D/1)

An automatic car wash operation will completely wash one car at a time at a constant rate of 15 cars per hour. Customers arrive, on average, every 5.2 minutes. The arrival rate follows the Poisson distribution.

a. What is the probability that an arriving customer will have to wait for service? b. How many cars, on average, are waiting to enter the car wash? c. What is the average length of time that a car waits to enter the car wash? d. On average, how long does it take a customer to go completely through the

system?