Jack is a randomly selected member of a large group in which 2% are drug users. Jack tests positive for drug in a test that rightly identifies users 90% of the time and correctly identifies nonusers 90% of the time. Please find the probability that Jack uses drug given the positive test result.

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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Jack is a randomly selected member of a large group in which 2% are drug users. Jack tests
positive for drug in a test that rightly identifies users 90% of the time and correctly identifies
nonusers 90% of the time. Please find the probability that Jack uses drug given the positive test
result.
Transcribed Image Text:Jack is a randomly selected member of a large group in which 2% are drug users. Jack tests positive for drug in a test that rightly identifies users 90% of the time and correctly identifies nonusers 90% of the time. Please find the probability that Jack uses drug given the positive test result.
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