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; Create a scatter graph using dynamic process learnt in the previous sessions to show the uniform probability distribution graphically, then answer the below questions: What is the probability that the flight will be no more than 5 minutes late? What is the probability that the flight will be more than 10 minutes late? What is the probability that the flight will be between 4 and 8 minutes late? d. In a month of 220 flight journeys finished, how many should have arrived 3 minutes or les

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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.

  1. Give a mathematical expression for the probability density function of flight time and the expected value and variance of the distribution;
  2. Create a scatter graph using dynamic process learnt in the previous sessions to show the uniform probability distribution graphically, then answer the below questions:
  3. What is the probability that the flight will be no more than 5 minutes late?
  4. What is the probability that the flight will be more than 10 minutes late?
  5. What is the probability that the flight will be between 4 and 8 minutes late?

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

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