(exercise 6.1.3) An airline quotes a travel time of 2 hours and 5 minutes for its flights between two destinations. Suppose that the actual flight times, t, are uniformly distributed between 2 hours and 2 hours and 20 minutes. (a) Show the graph of the probability density function for the random variable t. (b) What is the probability that the flight will be no more than 5 minutes late? (c) What percentage of the flights do we predict to be more than 10 minutes late? (d) What, is the exnected flight time between those two places?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Probability: Distributions.

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(exercise 6.1.3) An airline quotes a travel time of 2 hours and 5 minutes
for its flights between two destinations. Suppose that the actual flight
times, t, are uniformly distributed between 2 hours and 2 hours and 20
minutes.
(a) Show the graph of the probability density function for the random
variable t.
(b) What is the probability that the flight will be no more than 5
minutes late?
(c) What percentage of the flights do we predict to be more than 10
minutes late?
(d) What is the expected flight time between those two places?
Transcribed Image Text:(exercise 6.1.3) An airline quotes a travel time of 2 hours and 5 minutes for its flights between two destinations. Suppose that the actual flight times, t, are uniformly distributed between 2 hours and 2 hours and 20 minutes. (a) Show the graph of the probability density function for the random variable t. (b) What is the probability that the flight will be no more than 5 minutes late? (c) What percentage of the flights do we predict to be more than 10 minutes late? (d) What is the expected flight time between those two places?
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