Dr Strong is a dentist who schedules all her patients for 30-minutes appointments. Some of the patients take more or less than 30 minutes depending on the type of dental work to be done. The following summary shows the various categories of work, their probabilities and the time actually needed to complete the work.

Simulate the dentist's clinic for four hours and determine average waiting time for the patients as well as the idleness of the doctor. Assume that all the patients show up at the clinic at exactly their scheduled arrival time starting at 8 a.m. Use the following random numbers for handling the above problem: 40, 82, 11, 34, 25, 66, 17, 79.

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Category Time Required Probability of Category Filling 45 Minutes 0.40 Crown 60 Minutes 0.15 Cleaning 15 Minutes 0.15 Extraction 45 Minutes 0.10 Check-up 15 Minutes 0.20