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) 0.5
C) 0.333
D) 0.00

Question

Quizplus · Accepted Answer

To find the probability that a flight is more than 140 minutes, we need to find the area of the distribution curve to the right of 140. 
The total area under the curve is 1. Since the distribution is uniform, the area is represented by a rectangle with base (150-120) = 30 and height 1/30 (since the total area is 1). 
The area to the right of 140 is (150-140)/30 = 1/3. 
Therefore, the probability that a flight is more than 140 minutes is 1/3, or 0.333.

The Time to Fly Between New York City and Chicago