Question

Given an airline that flies between two cities with a quoted flight time of 2 hours and 10 minutes (130 minutes). Historical records indicate that the flight time between the two cities varies from 2 hours (120 minutes) to 2 hours and 20 minutes (140 minutes). The flight times are uniformly distributed. What is the probability that the flight will be between 125 minutes and 135 minutes?

Answer 1

Solution:

Given: the flight time between the two cities varies from 2 hours (120 minutes) to 2 hours and 20 minutes (140 minutes). The flight times are uniformly distributed.

That is : X ~ Uniform( a =120 , b = 140)

We have to find :

P( 125 < X < 135 ) = .............?

Using cumulative distribution function formula of Uniform distribution:

Thus