You have determined that waiting times at a toll booth are uniformly distributed over the interval 20 to 60 seconds. The first random number your simulation returns is 0.4732. What is the waiting time that this random number generates?
A) 38.928 seconds
B) 48.928 seconds
C) 68.928 seconds
D) 78.928 seconds
E) 88.928 seconds

Question

Quizplus · Accepted Answer

To convert a random number into a value within a specific range for a uniform distribution, you use the formula: minimum value + (maximum value - minimum value) * random number. Here, the minimum value is 20 seconds, the maximum value is 60 seconds, and the random number is 0.4732. So, the waiting time is 20 + (60 - 20) * 0.4732 = 20 + 40 * 0.4732 = 20 + 18.928 = 38.928 seconds.

You Have Determined That Waiting Times at a Toll Booth