A distribution of service times at a waiting line indicates that service takes 6 minutes 30 percent of the time, 7 minutes 40 percent of the time, 8 minutes 20 percent of the time, and 9 minutes 10 percent of the time. In preparing this distribution for Monte Carlo analysis, the service time 8 minutes would be represented by the random number range
A) 20 through 40
B) 21 through 40
C) 70 through 90
D) 71 through 90
E) none of these

Question

Quizplus · Accepted Answer

The cumulative probability for 6 minutes is 30%, for 7 minutes it is 70% (30% + 40%), and for 8 minutes it starts after 70% and goes up to 90% (70% + 20%). Therefore, the random number range representing 8 minutes would start after the cumulative percentage for 7 minutes (70%) and end at the cumulative percentage for 8 minutes (90%), which corresponds to 71 through 90.

A Distribution of Service Times at a Waiting Line Indicates