Suppose that a particular surveillance system has a 99.9% chance of correctly identifying someone who is in fa a future terrorist and a 99.6% chance of correctly identifying someone who is in fact not a future terrorist. If the are 1053 future terrorists in a population of 296 million, and one of these 296 million is randomly selecte scrutinized by the system, and identified as a future terrorist, what is the probability that he/she is in fact a futu terrorist?

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...
icon
Related questions
Question
Suppose that a particular surveillance system has a 99.9% chance of correctly identifying someone who is in fact
a future terrorist and a 99.6% chance of correctly identifying someone who is in fact not a future terrorist. If there
are 1053 future terrorists in a population of 296 million, and one of these 296 million is randomly selected,
scrutinized by the system, and identified as a future terrorist, what is the probability that he/she is in fact a future
terrorist?
Transcribed Image Text:Suppose that a particular surveillance system has a 99.9% chance of correctly identifying someone who is in fact a future terrorist and a 99.6% chance of correctly identifying someone who is in fact not a future terrorist. If there are 1053 future terrorists in a population of 296 million, and one of these 296 million is randomly selected, scrutinized by the system, and identified as a future terrorist, what is the probability that he/she is in fact a future terrorist?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON