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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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