6 A heart specialist schedules 16 patients each day, 1 every 30 minutes, starting at 9 A.M. Patients are expected to arrive for their appointments at the scheduled times.

However, past experience shows that 10% of all patients arrive 15 minutes early, 25% arrive 5 minutes early, 50%

arrive exactly on time, 10% arrive 10 minutes late, and 5%

arrive 15 minutes late. The time the specialist spends with a patient varies, depending on the type of problem. Analysis of past data shows that the length of an appointment has the distribution in Table 21. Develop a simulation model to calculate the average length of the doctor’s day.

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TABLE 21 Length of Appointment (minutes) Probability 24 .10 27 .20 30 .40 33 .15 36 .10 39 .05