A waiter can serve customers at an average rate of 12 customers per hour, according to an exponential distribution. The waiter can serve only one customer at a time. Customers arrive at an average rate of 8 per hour, following a Poisson distribution. Determine the following:

a) State the queuing model name in Kendall's notation.

b) The utilization rate of the waiter.

c) The average number of customers waiting for service.

d) The average time a customer waits for service.

e) The probability that at most 2 customers are waiting for service.