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.   Give a mathematical expression for the probability density function of flight time and the expected value and variance of the distribution;

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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.

 

Give a mathematical expression for the probability density function of flight time and the expected value and variance of the distribution;

a) What is the probability that the flight will be between 4 and 8 minutes late?

b). In a month of 220 flight journeys finished, how many should have arrived 3 minutes or less earlier

 

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