Jetblue Airlines quotes a flight time of 2 hours, 5 minutes for its flights from

Question

Jetblue Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 30 minutes. Show your work for each of the below.

a. Show the graph of the probability density function for flight times.

b. What is the probability that the flight will be no more than 5 minutes late?

c. What is the probability that the flight will be more than 10 minutes late?

d. What is the expected flight time?

Explanation / Answer

b) P(no more than 5 minutes late) = 5/30 = 1/6

c) P (more than 10 min late) = 20./30 = 2/3

d) E(X) = (a+b)/2 = (2+2.5)/2 = 2 hours 15 minutes

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