A car service company is considering a two-channel service station. The cars arrive with a mean arrival rate of 6 cars per hour and follow Poisson probability distribution. The service times follow exponential probability distribution, with a mean service rate of 10 cars per hour for each channel. a. What is the probability that no cars are in the system? b. What is the average number of cars waiting for service? c. What is the average time waiting for service? d. What is the average time in the system? e. What is the probability that an arriving car will have to wait for service?
