1. Dential office simulation. A dental office opens at 8:30a.m. but the dentist starts working at 9:00 a.m. She has one patient scheduled to arrive each half hour from 9:00 a,m. until 12 noon. She leaves for lunch when the noon patient has been treated. Patients do not necessarily arrive exactly on time. Historically, they have been as much as 10 minutes early or 10 minutes late. The following table shows the probability distribution for being early, late, or on time. The length of each appointment varies according to the following distribution: a) Show, next to the distributions above, the random number intervals that you will use to simulate patients arrivals and appointment durations. b) Simulate the arrival and treatment of a morning's appointments, using the table on the following page and the random numbers given. c) What is the average patient wait time? d) What is the largest single wait time? e) How much idle time does the dentist have between 9:00 and when her last morning patient leaves? f) When does the dentist get to go to lunch? g) Name one stochastic variable in this problem h) Name one deterministic variable in this