Delta Airlines quotes a flight time of 3 hours, 5 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 3 hours and 3 hours, 20 minutes. (a) Show the graph of the probability density function for flight time. f(x) f(x) O O 3 20 1 10 1 20 f(x) 3 20 1 10 1 20 170 170 190 180 Flight Time in Minutes 180 190 Flight Time in Minutes min 200 (d) What is the expected flight time, in minutes? 200 X X 3 20 1 10 1 20 f(x) 3 20 1 10 1 20 170 (b) What is the probability that the flight will be no more than 5 minutes late? 170 (c) What is the probability that the flight will be more than 10 minutes late? 180 190 Flight Time in Minutes 190 180 Flight Time in Minutes 200 200 X X

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