Suppose that a particular surveillance system has a 99.9% chance of correctly identifying someone who is in facta future terrorist and a 99.6% chance of correctly identifying someone who is in fact not a future terrorist. If thereare 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 futureterrorist?

Given Information: A surveillance system has a 99.9% chance of correctly identifying someone who is…

Answered: Suppose that a particular surveillance…

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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According to the textbook, it is reported that 85% of Asians, 78% of white, 70% of Hispanic, and 38% of black children have two parents at home. Suppose there are 500 students in a representative school, of which 280 are white, 50 are Asian, 100 are Hispanic, and 70 are black. Assume that individuals are only allowed to associate with a predominant category (e.g. cannot be in two or more categories). What is the probability the next child to arrive at the representative school is not Asian? Group of answer choices
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Detecting terrorists is a real problem, one that causes governments to spend millions per year. A particular surveillance system has been developed which correctly identifies a future terrorist 99% of the times and detects someone who is not a future terrorist 99.9% of times. Suppose that in a population of 300 million, there are 1000 potential/future terrorists. If one of these 300 million is randomly selected and scrutinized by the system, what is the probability that the person selected is actually a future terrorist? Also explain if the value of this probability makes you uncomfortable about using a surveillance system? Explain.
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