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You are given the following information: (a) In random testing, someone tests positive for a disease. (b) In 5% of cases where the subject does not have the disease, this test shows positive anyway: i.e. there is a 5% false positive rate. (c) There are no false negatives. (d) In the population at large, one person in a thousand has the disease. What is the probability that the person tested actually has the disease?

You are given the following information: (a) In random testing, someone tests positive for a disease. (b) In 5% of cases where the subject does not have the disease, this test shows positive anyway: i.e. there is a 5% false positive rate. (c) There are no false negatives. (d) In the population at large, one person in a thousand has the disease. What is the probability that the person tested actually has the disease?

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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You are given the following information: (a) In random testing, someone tests positive for a disease. (b) In 5% of cases where the subject does not have the disease, this test shows positive anyway: i.e. there is a 5% false positive rate. (c) There are no false negatives. (d) In the population at large, one person in a thousand has the disease. What is the probability that the person tested actually has the disease?
Transcribed Image Text:You are given the following information: (a) In random testing, someone tests positive for a disease. (b) In 5% of cases where the subject does not have the disease, this test shows positive anyway: i.e. there is a 5% false positive rate. (c) There are no false negatives. (d) In the population at large, one person in a thousand has the disease. What is the probability that the person tested actually has the disease?
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