Question

JetBlue Airlines quotes and posts a flight time of 2 hours 25 minutes for its flight from Newark to O'Hare. Suppose the actual flight times are uniformly distributed between "2 hours10 minutes" and "3 hours".

What is the probability that the flight will be more than 8 minutes late?

What is the probability that the flight will be early?

Answer 1

Solution:

Posted flight time = 2 hours 25 minutes = 145 Minutes

We are given

Actual flight times are uniformly distributed with

a = 2 hours 10 minutes = 130 minutes

b = 3 hours = 180 minutes

What is the probability that the flight will be more than 8 minutes late?

We have to find P(X>145+8) = P(X>153)

P(X>x) = (b – x) / ( b – a)

P(X>153) = (180 – 153) / (180 – 130) = 27/50 = 0.54

Required probability = 0.54

What is the probability that the flight will be early?

We have to find P(X<145)

P(X<x) = (x – a) / (b – a)

P(X<145) = (145 – 130) / (180 – 130) = 15/50 = 0.3

Required probability = 0.30