Using concepts we covered, compare the following two systems: Consider two banks A

and B. Bank A has installed an ATM machine that takes exactly 3 minutes for every customer

transaction. Instead of an ATM, Bank B uses a Teller to attend to customer transactions. The

tellers service time is dictated by a random process as follows. The teller takes either exactly

1 minute or 5 minutes to serve a customer with equal likelihood (50% chance of each event).

Assume that customer arrivals into both banks are similar in that both banks on an average

see an arrival rate of 15 customers per hour and the pattern of arrivals (i.e. the probability

distribution) are exactly the same. (a) Which bank sees a higher capacity utilization: Bank A

with the ATM or Bank B with the teller? (b) Which bank sees a higher flow time for its

customers (average waiting time in line plus service times)? Please justify clearly using

concepts from the lecture. (c) Which bank sees a higher number of customers waiting in line?

Again explain clearly why this is the case.