A mathematics researcher has pointed out a problem with massive, untargeted wiretaps. To illustrate the problem, he supposes that one out of every million citizens of a certain country has terrorist ties. Furthermore, he supposes that the terrorist profile is 98.4% accurate, so that if a person has terrorist ties, the profile will pick them up 98.4% the time, and if the person does not have terrorist ties, the profile will accidentally pick them up only 1.6% of the time. Given that the profile has picked up a person, what is t probability that the person actually has terrorist ties? The probability is (Type an integer or a decimal rounded to six decimal places as needed.)

A mathematics researcher has pointed out a problem with massive, untargeted wiretaps. To illustrate the problem, he supposes that one out of every million citizens of a certain country has terrorist ties. Furthermore, he supposes that the terrorist profile is 98.4% accurate, so that if a person has terrorist ties, the profile will pick them up 98.4% the time, and if the person does not have terrorist ties, the profile will accidentally pick them up only 1.6% of the time. Given that the profile has picked up a person, what is t probability that the person actually has terrorist ties? The probability is (Type an integer or a decimal rounded to six decimal places as needed.)

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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