Simulation in an Emergency Room of Hospital The emergency room of the community hospital in Farmburg has one receptionist, one doctor, and one nurse. The emergency room opens at time zero, and patients begin to arrive at a certain time later. Patients arrive at the emergency room according to the following probability distribution: Time Between Arrivals (min.) Probability 5 .06 10 .10 15 .23 20 .29 25 .13 30 s14 1.00 The attention needed by a patient who comes to the emergency room is dened by the probability distribution below: Patient Needs to See Probability Doctor alone .50 Nurse alone .20 Both 410 1.00 If a patient needs to see both the doctor and the nurse, he or she cannot see one before the otherthat is, the patient must wait to see both together. The length of the patient's visit {in minutes} is dened by the following probability distributions: Doctor Probability Nurse Probability Both Probability 10 .22 5 .08 15 .0? 15 .31 10 .24 20 .16 20 .25 IS .51 25 .21 25 .12 20 A? 30 .28 30 _._l_Q 1. 35 .17 1.00 40 _._LL 1.00 Simulate the arrival of 20 patients to the emergency room and compute the probability that a patient must wait and the average waiting time. Based on this one simulation, does it appear that this system provides adequate patient care