Note: Formulas to solve the following problems are given in the class and example problems were solved in the class. Follow the examples described in the class and read the literature posted on blackboard. 1. Huntsville Bank (a fictitious one) has a drive-through teller window and observed that customers arrive for service one every three minute, on an average, and the average service time per customer is 2.4 minutes. Assume inter-arrival time and service time follow a negative Exponential distribution. The bank hires you as a consultant. You guess that this is an MM1 system and you are required to determine the following: a. Probability (teller is busy) b. Probability (teller is idle) c. Average number of customers waiting for service, that is, number of autos in the line excluding the one at the teller window. d. Average number of customers in the system, that is, number of autos in the line including the one at the teller window. e. Average time a customer spends in the waiting line before reaching the teller window. f. Average time a customer spends in the system, that is, waiting time plus service time. g. The bank manager realized that too many autos are in the line for service and there have been complaints recently. In view of your knowledge of queuing analysis, you would advise as a consultant to open another teller window so that the arrival rate is shared by two windows and of course, autos will be in two lines. Now having two teller windows installed, determine again (a) to (f) above