Facebook has created a new algorithm that is built to detect terrorists in the US by looking at relationships within the data. Currently 200,000,000 people use the platform in the US. 0.001% of people in the US are legitimate terrorists. The Facebook algorithm correctly identifies terrorists 95% of the time. The algorithm incorrectly identifies regular citizens as terrorists 0.1% of the time. These number of each category is displayed below. Facebook Identified as TerroristNot Identified as TerroristTotalTerrorist19001002000Citizen199998199798002199998000Total201898199798102200,000,000What is the probability that a randomly selected person is a) A terrorist given that Facebook did not identify them as one? b) A terrorist given that Facebook did identify them as one? c) A citizen given that Facebook did identify them as a terrorist?

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Answered: Facebook has created a new algorithm…

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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Facebook has created a new algorithm that is built to detect terrorists in the US by looking at relationships within the data. Currently 200,000,000 people use the platform in the US. 0.001% of people in the US are legitimate terrorists. The Facebook algorithm correctly identifies terrorists 95% of the time. The algorithm incorrectly identifies regular citizens as terrorists 0.1% of the time. These number of each category is displayed below.

	Facebook Identified as Terrorist	Not Identified as Terrorist	Total
Terrorist	1900	100	2000
Citizen	199998	199798002	199998000
Total	201898	199798102	200,000,000

What is the probability that a randomly selected person is
a) A terrorist given that Facebook did not identify them as one?
b) A terrorist given that Facebook did identify them as one?
c) A citizen given that Facebook did identify them as a terrorist?

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