Consider a bank office where customers arrive according to a Poisson process with an average arrival rate ofcustomers per minute. The bank has only one teller servicing the arriving customers. The service time is exponentially distributed and the mean service rate iscustomers per minute. It turns out that the customers are impatient and are only willing to wait in line for an exponential distributed time with a mean of 1/minutes. Assume that there is no limitation on the number of customers that can be in the bank at the same time. a. Construct a rate diagram for the process and determine what type of queuing system this correspond to on the form A1/A2/A3.

b. Determine the expected number of customers in the system when= 1 and= 2. c. Determine the average number of customers per time unit that leave the bank without being served by the teller when= 1 and= 2.