In the Operating Theatre (OT), there are a variety of cancellations that can occur: staff, patient, and equipment based. Unfortunately, short-notice patient based cancellations are the most common. Each patient has a probability of approximately 8% of cancelling on the day of surgery, independently of other patients. i. If the Gastroenterology surgeons have scheduled 8 patients to treat, what is the probability that there will be at most two cancellations? ii. For a given surgeon, how many patients do they expect to treat before a patient cancels? iii. If a short notice surgical block becomes available, prospective patients will accept the time slot with a probability of 20%, independently of other patients. Several patients have cancelled and an administrative assistant is attempting to fill four surgical slots (i.e. obtain four short notice patients) by calling patients on the waiting list. What is the probability that the administrative assistant can fill the blocks in the minimum number of calls?