The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the probability that a flight is more than 140 minutes?
A)1.00
B)0.50
C)0.333
D)0.00

Question

Quizplus · Accepted Answer

To find the probability, we need to find the area under the distribution curve for the time interval when the flight is more than 140 minutes.

The total area under any uniform distribution curve is 1. Therefore, the probability of any event on this curve will be the ratio of the area of that event to the total area under the curve.

The length of the interval when the flight is more than 140 minutes is (150-140) = 10 minutes, which is 1/3 of the total length of the distribution curve (150-120 = 30). Therefore, the probability of a flight being more than 140 minutes is 1/3 or 0.333.

The Time to Fly Between New York City and Chicago