### What is the total idle time of the doctor

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##### Reference no: EM13198686

The new medical centre wants you to simulate the day appointments schedule for one doctor.  An analysis has been done predicating one week's operation and has come up with the following results:

 Time between arrivals Number of occasions 10 15 15 30 20 25 25 20 30 10
 Appointment length Number of occasions 7 40 12 20 15 20 20 10 30 10

Required:

a) What is the probability that the time between arrivals will be 20 minutes or more?

b) What is the probability that the appointment time will be 12 minutes or less?

c) Using monte carlo simulation with the random numbers below, simulate 5 arrivals and 5 appointments:

 Random numbers: Random number Arrival time Appointment length 35, 92, 05, 44, 75 4, 2, 6, 9, 4

d) After 5 simulations what is the total waiting time of patients?

e) What is the total idle time of the doctor at the end of the first hour?

What is the largest queue of students that forms?

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