America's Bank made operational improvements to its drive-through window system and now service at the facility is performed at a rate of 35 per hour following an exponential distribution with an arrival rate 28 per hour following a Poisson distribution. Drive-through window still with 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?

Please show all calculations