What is the probability that the person randomly selected is traveling for business on a privately owned plane? Round your answer to two decimal places, if necessary.
What is the probability that the person randomly selected is traveling for business on a privately owned plane? Round your answer to two decimal places, if necessary.
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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Question
Of the travelers arriving at a small airport, 50%50% fly on major airlines, 40%40% fly on privately owned planes, and the remainder fly on commercially owned planes not belonging to a major airline. Of those traveling on the major airlines, 60% are traveling for business reasons, whereas 40% of those arriving on private planes and 90% of those arriving on the other commercially owned planes are traveling for business reasons. Suppose that we randomly select one person arriving at the airport.
Step 2 of 3 :
What is the probability that the person randomly selected is traveling for business on a privately owned plane? Round your answer to two decimal places, if necessary.
Expert Solution
Step 1
Let Ma be the person who arrived by a major airline.
Pa is the person reached by private airlines.
Ca be the person arrived by commercial airline.
B|Ma is the person who arrived by major airlines for business reasons.
B|Pa is the person who arrived by private airline for business reasons.
B|Ca is the person who arrived by commercial airline for business reasons.
Given that,
| P(Ma) | 0.5 |
| P(Pa) | 0.4 |
| P(Ca) | 0.1 |
| P(B|Ma) | 0.6 |
| P(B|Pa) | 0.4 |
| P(B|Ca) | 0.9 |
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