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?

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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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