) Suppose that 1% 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 8% of the time. Given that a child is tested and a positive result occurs, what is the probability that the child has TB?
) Suppose that 1% 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 8% of the time. Given that a child is tested and a positive result occurs, what is the probability that the child has TB?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:) Suppose that 1% 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 8% of the time. Given that a child is
tested and a positive result occurs, what is the probability that the child has TB?
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