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ts) Suppose that 2% of all children have tuberculosis (TB). When a child who has TB is given the Mantoux test, a positive test result occurs 97% of the time. When a child who does not have TB is given the Mantoux test, a positive test result occurs 18% of the time (I hear you: what these pharmaceutical companies make is mediocre). Given that a child is tested and a positive result occurs, what is the probability that the child has TB?

ts) Suppose that 2% of all children have tuberculosis (TB). When a child who has TB is given the Mantoux test, a positive test result occurs 97% of the time. When a child who does not have TB is given the Mantoux test, a positive test result occurs 18% of the time (I hear you: what these pharmaceutical companies make is mediocre). Given that a child is tested and a positive result occurs, what is the probability that the child has TB?

A First Course in Probability (10th Edition)
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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ts) Suppose that 2% of all children have tuberculosis (TB). When a child who has TB is given the Mantoux test, a positive test result occurs 97% of the time. When a child who does not have TB is given the Mantoux test, a positive test result occurs 18% of the time (I hear you: what these pharmaceutical companies make is mediocre). Given that a child is tested and a positive result occurs, what is the probability that the child has TB?
Transcribed Image Text:ts) Suppose that 2% of all children have tuberculosis (TB). When a child who has TB is given the Mantoux test, a positive test result occurs 97% of the time. When a child who does not have TB is given the Mantoux test, a positive test result occurs 18% of the time (I hear you: what these pharmaceutical companies make is mediocre). Given that a child is tested and a positive result occurs, what is the probability that the child has TB?
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