In a Single Channel Automatic Car Wash, Cars Arrive Following

Essay

In a single channel automatic car wash, cars arrive following Poisson distribution at the rate of 20 per hour. It takes an average of 2 minutes to wash a car, and the service time follows exponential distribution. Find the following operating characteristics of the system
(A) average number of cars in the system.
(B) average waiting time in the system
(C) the probability of having 3 cars in the system