A distribution of service times at a waiting line indicates that service takes 6 minutes 30% of the time, 7 minutes 40% of the time, 8 minutes 20% of the time, and 9 minutes 10% 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) 40 through 70.

Question

Quizplus · Accepted Answer

The cumulative probability for the service times before 8 minutes is 70% (30% for 6 minutes + 40% for 7 minutes). The probability for 8 minutes is 20%, so the range for 8 minutes starts after 70% and extends to 90% (70% + 20%). Therefore, the correct random number range for 8 minutes is 71 through 90.

A Distribution of Service Times at a Waiting Line Indicates