1. ut health systems offers a walk-in clinic for flu shots. patients arrive at a rate of 30 per hour. each shot takes 5 minutes. there are 3 technicians to administer the shots. assume that customer arrivals follow a poisson distribution, and that service times follow an exponential probability distribution. customers will always wait for a shot. a) (15 points) what is the waiting time for a patient to receive a shot in minutes? b) (15 points) how many customers on average are waiting for a shot? c) (10 points) after process improvement the clinic can reduce the mean time for a shot to 4 minutes with a standard deviation of 3 minutes. what is the new wait time for a patient to receive a shot?
