# Statistics - Baye's Theorem

Suppose that, in a particular city, airport A handles 50% of all airline traffic, and airports B and C handle 30% and 20%, respectively. The detection rates for weapons at the three airports are .9, .5, and .4, respectively. If a passenger at one of the airports is found to be carrying a weapon through the boarding gate, what is the probability that the passenger is using airport A? Airport C?

For a Step by Step detailed solution of this problem, please download the attached solution file.

© BrainMass Inc. brainmass.com June 3, 2020, 7:27 pm ad1c9bdddfhttps://brainmass.com/statistics/bayesian-probability/statistics-baye-s-theorem-98912

#### Solution Summary

Solution to a problem on Baye's theorem is explained step by step in this posting. The Example used is as below

Suppose that, in a particular city, airport A handles 50% of all airline traffic, and airports B and C handle 30% and 20%, respectively. The detection rates for weapons at the three airports are .9, .5, and .4, respectively. If a passenger at one of the airports is found to be carrying a weapon through the boarding gate, what is the probability that the passenger is using airport A? Airport C? Use of Baye's Therem.