General Hospital in Richmond, Virginia, has an emergency room that is divided into six departments: (1) an initial exam station to treat minor problems or to make a diagnosis; (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 outprocessing 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:

(a) Simulate the trail followed by 10 emergency room patients, Proceed, one patient at a time, from each one€™s entry at the initial exam station until he or she leaves through outprocessing. You should be aware that a patient can enter the same department more than once.
(b) Using your simulation data, determine the chances that a patient enters the X-ray departmenttwice.

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Probabilit,y 45 10 10 .35 From Initial exam at X-ray department Operating room Observation room Outprocessing clerk Operating room Cast-fitting room Observation room Outprocessing clerk Cast-fitting room Observation rcom Oulprocessing clerk emergency room enirance X-ray department Operating room 0S bservation room X-ray department Outprocessing clerk ast-iiling room 40 servation room ng room X-ray department Outprocessing clerk I5