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In a city, airport A handles 50% of all airlines traffic, airport B handles 30% and airport C handles 20%. The detection rates for weapons at the three airports are 0.9, 0.5 and 0.4 respectively. A passenger is randomly selected at one of the airports. (a) What is the probability that he/she is carrying a weapon? (b) If he/she is found to be carrying a weapon, what is the probability that airport A is being used?

In a city, airport A handles 50% of all airlines traffic, airport B handles 30% and airport C handles 20%. The detection rates for weapons at the three airports are 0.9, 0.5 and 0.4 respectively. A passenger is randomly selected at one of the airports. (a) What is the probability that he/she is carrying a weapon? (b) If he/she is found to be carrying a weapon, what is the probability that airport A is being used?

A First Course in Probability (10th Edition)
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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Q. No. 5. In a city, airport A handles 50% of all airlines traffic, airport B handles 30% and airport C handles 20%. The detection rates for weapons at the three airports are 0.9, 0.5 and 0.4 respectively. A passenger is randomly selected at one of the airports. (a) What is the probability that he/she is carrying a weapon? (b) If he/she is found to be carrying a weapon, what is the probability that airport A is being used?
Transcribed Image Text:Q. No. 5. In a city, airport A handles 50% of all airlines traffic, airport B handles 30% and airport C handles 20%. The detection rates for weapons at the three airports are 0.9, 0.5 and 0.4 respectively. A passenger is randomly selected at one of the airports. (a) What is the probability that he/she is carrying a weapon? (b) If he/she is found to be carrying a weapon, what is the probability that airport A is being used?
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