Automobiles arrive at the local sonic burger where employees on roller skates service them in parking lot while they sit in their automobiles at the rate of 4 every 20 minutes. the average service time is 4 minutes. the poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. if only one (1) employee is used answer a – g. (30 points) µ = 60/4 =15/hr., ƛ = (60/20)x4 = 12/hr. a) what is the average time a car is in the queue? 16 minutes b) what is the average number of cars in the queue? 3.2 c) what is the average time cars spend waiting to receive service (system)? 20 minutes d) what is the probability that there are no cars on the lot? 20% e) what percentage of the time is the employee busy? pw = ƛ/ µ = 12/15 =.80 f) what is the probability that there are exactly 2 cars in the system? 12.8%