From historical data, Harry's Car Wash determines that dirty cars arrive at the rate of 10 per hour all day Saturday. With the crew working the wash line, Harry figures that the cars can be cleaned at the rate of one every five minutes. One car at the time is cleaned in this example of the 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.