Explore BrainMass
Share

Statistics - Baye's Theorem

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

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 October 16, 2018, 6:54 pm ad1c9bdddf
https://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.

$2.19
Similar Posting

Bayes' Theorem: Uses for Business-related Questions

Why is using Bayes' theorem important to help answer business-related questions? What does this theorem allow you to do that traditional statistics do not? What are some prerequisites for using Bayesian statistics?

View Full Posting Details