Winston-Salem’s general hospital has an emergency room that is divided into six departments: (1) the initial exam station, to treat minor problems and make diagnoses; (2) an x-ray department; (3) an operating room; (4) a cast-fitting room; (5) an observation room for recovery and general observation before final diagnosis or release; and (6) an out-processing department, where clerks check out patients and arrange for payment or insurance forms. The probabilities that a patient will go from one department to another are presented in the following table. (See Table for Problem 10-31 on page 468.)
Simulate the trail followed by 200 emergency room patients. Process 1 patient at a time, from entry at the initial exam station until leaving through out-processing. Note that a patient can enter the same department more than once. Based on your simulation, what is the probability that a patient enters the x-ray department more than once?