The administrator of emergency ward of Trinity Hospital has to decide the number of doctors to be made available to treat patients arriving at the facility every night. The number of doctors required varies with the type of emergency, which are classified as minor, routine, and critical. A minor emergency will require one doctor, whereas the routine and critical emergencies require will require 2 and 4 doctors, respectively. Both the arrival rates of patients to the emergency ward and the type of emergency are random variables with no known probability distribution. Yet, the administrator of the emergency ward was able to determine from past hospital records the following probability distributions for the two random variables:

1. Conduct a 15-night simulation trial of patient arrivals and emergency type for the emergency ward of Trinity Hospital.

2. Compute the average number of patient arrivals each night, the average number of each type of emergency each night, and the maximum number of doctors needed for any given night.

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Arrival Rate of Patients 6. Probability 0.05 0.10 0.15 0.20 0.25 0.10 2. Type of Emergency Minor Routine Critical Probability 0.20 0.50 0.30