Test Shows Positive Test Shows Negative Total Terrorist 99 1 100 Not a Terrorist 9999 989901 999900 Total 10098 989902 1000000 Questions 5-7. Suppose .01% of the residents of a city with 1million people are terrorists. The city buys facial recognition software that can identify these terrorists with 99% accuracy. If the police receive a ‘hit’ on a recognized face, what is the probability that it was a false positive? (enter answer as a percent rounded to the nearest tenth as needed)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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  Test Shows Positive Test Shows Negative Total
Terrorist 99 1 100
Not a Terrorist 9999 989901 999900
Total 10098 989902 1000000

Questions 5-7. Suppose .01% of the residents of a city with 1million people are terrorists. The city buys facial recognition software that can identify these terrorists with 99% accuracy.

If the police receive a ‘hit’ on a recognized face, what is the probability that it was a false positive?

(enter answer as a percent rounded to the nearest tenth as needed)

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