From historical data, Harry's Car Wash determines that dirty cars arrive at rate of 10 for each hour all day Saturday. With the crew working the wash line, Harry figures that cars can be cleaned at rate of one every 5 minutes. One car at the time is cleaned in this example of a single-channel waiting line.
Supposing Poisson arrivals and exponential service times, find the
(a) Average number of cars in line.
(b) Average time a car waits before it is washed.
(c) Average time a car spends in the service system.
(d) Utilization rate of the car wash.
(e) Probability that no cars are in the system.