2. 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. One car at a time is cleaned in this exampldepe 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.
Answer will be sent by email as attachment.