Discuss the following:
From historical data, Harry's Car Wash estimates that dirty cars arrive at the rate of 10 per hour all day Saturday. With a crew working the wash line, Harry figures that cars can be cleaned at the rate of one every 5 minutes. 1 car at a time is cleaned in this eg of a single-channel waiting line. Assuming 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