From historical data, Harrys 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 five minutes. One car at a time is cleaned in this example of single-server waiting line. Assuming Poisson arrivals and exponential service times, find the

1. average number of cars in line
2. average time a car waits before it is washed
3. average time a car spends in the service system
4. utilization rate of the car wash
5. probability that no cars are in the system