14 To determine the long - run average waiting time in this scenario, we need to use more advanced techniques such as simulation or a more advanced queuing model that takes into account the effects of congestion. It looks like Chat GPT made the correct link to queueing theory. How ev er, i t got stuck when trying to fit the numbers into the formula and eventually gave up with the answer by point ing to “sim ulation or a more advanced queuing model that takes into account the effects of congestion”. H ow could I help Chat GPT get to the answer? A ve ry conv enient feature of Chat GPT is that the user can simply ask for a second answer whenever she i s not co nvinced of the solution. So, I simply asked C hat GPT to give it another shot. And, it wo rked, at least almost! Here is the s eco nd resp onse. ANSWER 6 (SECON D TRY) To find the long run average amount of time that a voter will have to wait before casting their vote using queuing analysis, we need to consider the arrival rate of voters at the kiosk and the service rate of the kiosk (the rate at w hich voters are served by the kiosk). The arrival rate is the rate at which voters arrive at the kiosk, which is 10 voters per hour. The service rate is the rate at which the kiosk can serve voters, which is equal to the inverse of the average time that a voter spends at the kiosk, which is 1/5 voters per minute = 12 voters per hour. The long run average number of voters in the system (waiting and being served) is given by the formula: L = lambda / (mu - lambda) where lambda is the arrival rate and mu is the service rate. Plugging in the values, we get: L = 10 voters per hour / (12 voters per hour - 10 voters per hour) = 10/2 = 5 voters