Problem 4 (25 points) Consider an Urgent Care (UC) comprising three doctors and one nurse to serve patients during the day. On a typical day, the interarrival time is Exponentially distributed with a mean of 6 minutes. 25% of patients are high-priority, and the remaining are low-priority. Upon arrival at UC, the patients are triaged by a nurse into one of the two types of patients. The service time for triage is distributed by Triangular distribution with min = 3, max = 10, and the most likely value = 5 minutes. Then, the patients wait in the waiting room and get called to visit doctors on a firstcome-first-served basis. If more than 10 people are waiting for service, an arriving patient will exit before being triaged. Finally, low-priority patients may depart if they have to wait longer than205 minutes (Uniformly distributed) after triage. The doctor service time distributions are given as follows. Priority Service Time Distribution (in Minutes) High Normal(mean = 40, sd = 5) Low Gamma(shape = 15, rate = 1) Assuming that the UC opens at 8 hours, simulate the process for 50 replications. The UC would like to estimate the following: (a) the average flow time of each type of patient. (b) the probability that low-priority patients balk. No data Set.