Question

Can you solve this question without any error?

Q) An airline quotes a flight time of 2 hours for its flights from Dallas to Atlanta. Suppose that actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes. a. Plot the probability density function for flight time in minutes. b. What is the probability that the flight will be no more than 15 minutes late? c. If the flight costs an average $120 per hour for the passengers, what is the expected ticket price from Dallas to Atlanta?

Answer 1

Flight is uniformly distributed between 2 hours and 20 minutes = 2*60 + 20 = 120+ 20 = 140 minutes

a)

b)

P(flight will be no more than 15 minutes late) =P(T<15) =(15-0)/(20-0) =0.75

c)

expected flight time =(120+140)/2 =130 minute =130/60 Hours

Expected ticket cost =120*(130/60) = $ 260

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