5. Delta 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, 20 minutes.

a. Show the graph of the probability density function for flight time. (2 marks)

b. What is the probability that the flight will be no more than 5 minutes late? (2 marks)

c. What is the probability that the flight will be more than 10 minutes late? (2 marks)

d. What is the expected flight time? (2 marks)