An automated car wash facility consists of a single service bay that is capable of serving 12 cars per hour on a first come, first serve basis. Historical data indicates that cars arrive at an average rate of 6 cars per hour. a – what is the utilization factor for the facility? b – what percentage of the time is the facility idle? c – what is the average amount of time that a car spends waiting in line to be served? d – what is the average number of cars waiting in line to be served? e – what is the probability that two or more cars are waiting in line to be served?