Vehicles arrive to a fully automated car wash at a rate of 24 per hour and wait in line

when needed. The car wash works on one vehicle at a time, and the washing process always

lasts exactly 2 minutes. Times between vehicle arrivals are exponentially distributed.

(a) How long on average do cars wait in line prior to entering the car wash (in

minutes)?

(b) What is the average number of vehicles in the system (waiting + being washed)?