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.

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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.
О а. 1/10
O b. 1/50
О с.
1/5
O d. 1/98
O e. 9/58

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