A distribution of service times at a waiting line indicates that service takes 6 minutes 30 percent of the time, 7 minutes 30 percent of the time, 8 minutes 20 percent of the time, and 9 minutes 20 percent of the time. In preparing this distribution for Monte Carlo analysis, the service time of 8 minutes would be represented by what random number range?
A) 20 through 40
B) 61 through 80
C) 70 through 90
D) 71 through 90
E) 01 through 20

Question

Quizplus · Accepted Answer

For Monte Carlo analysis, the cumulative probability distribution is used to assign ranges of random numbers to outcomes. The service time of 6 minutes (30%) would correspond to random numbers 01-30, 7 minutes (another 30%) would follow with 31-60. Therefore, the 8-minute service time, which has a 20% probability, would be represented by the next 20% of the range, which is 61-80.

A Distribution of Service Times at a Waiting Line Indicates