Of the travelers arriving at an airport, 70% fly on major airlines, 20% fly on privately owned planes and the remainder fly on commercial planes from small airlines. Of those arriving on major airlines, 40% are traveling for business rea- sons. Of those arriving on private planes, 60% are traveling for business reasons. Of those arriving on small commercial airlines, 80% are traveling for business rea- sons. Suppose that we randomly select one person arriving at this airport. What is the probability that the person arrived on a private plane, given that the person is traveling for business reasons?
Of the travelers arriving at an airport, 70% fly on major airlines, 20% fly on privately owned planes and the remainder fly on commercial planes from small airlines. Of those arriving on major airlines, 40% are traveling for business rea- sons. Of those arriving on private planes, 60% are traveling for business reasons. Of those arriving on small commercial airlines, 80% are traveling for business rea- sons. Suppose that we randomly select one person arriving at this airport. What is the probability that the person arrived on a private plane, given that the person is traveling for business reasons?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Of the travelers arriving at an airport, 70% fly on major airlines, 20% fly on privately owned planes and the remainder fly on commercial planes from small airlines. Of those arriving on major airlines, 40% are traveling for business rea- sons. Of those arriving on private planes, 60% are traveling for business reasons. Of those arriving on small commercial airlines, 80% are traveling for business rea- sons. Suppose that we randomly select one person arriving at this airport. What is the probability that the person arrived on a private plane, given that the person is traveling for business reasons?
Expert Solution
Step 1
Given that:
Probability that travelers fly on major airlines = 70%
Probability that travelers fly on privately owned planes = 20%
Probability that travelers are travelling for business reasons given that they fly on major airlines = 40%
Probability that travelers are travelling for business reasons given that they fly on privately owned planes = 60%
Probability that travelers are travelling for business reasons given that they fly on small commercial planes = 80%
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