Automobiles arrive to Piggy Bank drive-through window at a rate of 28 per hour following a Poisson distribution. Service at the facility is performed at a rate of 30 per hour following an exponential distribution. Actually this drive-through window has only one server. a. What is the average number of automobiles the system? b. What is the average time an automobile spends in the system? c. What is the average number of automobiles in the queue? d. What is the average time an automobile waits in the queue? e. What is the utilization of the system? f. What is the probability that no one is in the system? Note: Show all calculations