Exhibit 6-5
The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes.
-Refer to Exhibit 6-5. The probability that her trip will take longer than 60 minutes is
A)1.00
B)0.40
C)0.02
D)0.600

Question

Quizplus · Accepted Answer

Since the travel time is uniformly distributed, we know that the probability of any segment of time within the range is proportional to the length of that segment. Therefore, the probability of the trip taking longer than 60 minutes is equal to the length of the segment from 60 to 90 minutes, which is 30 minutes out of the total range of 50 minutes. Therefore, the probability is 30/50 = 0.6 or 60%. The answer is D.

Exhibit 6-5 The Travel Time for a College Student Traveling Between Her