Problem 1. A certain disease has a prevalence of one in every 100 individuals in thepopulation. A test for this disease has a false positive rate of 10% and a false negativerate of 3%. The rate of false positives and false negatives depends only on whether or notthe tested individual has the disease. What is the probability that an individual who testspositive twice for the disease has the disease? What is the probability that an individualwho tests negative twice for the disease has the disease?

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Problem 1. A certain disease has a prevalence of one in every 100 individuals in th population. A test for this disease has a false positive rate of 10% and a false negativ rate of 3%. The rate of false positives and false negatives depends only on whether or no the tested individual has the disease. What is the probability that an individual who test positive twice for the disease has the disease? What is the probability that an individu: who tests negative twice for the disease has the disease?

Problem 1. A certain disease has a prevalence of one in every 100 individuals in th population. A test for this disease has a false positive rate of 10% and a false negativ rate of 3%. The rate of false positives and false negatives depends only on whether or no the tested individual has the disease. What is the probability that an individual who test positive twice for the disease has the disease? What is the probability that an individu: who tests negative twice for the disease has the disease?

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

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Problem 1. A certain disease has a prevalence of one in every 100 individuals in the
population. A test for this disease has a false positive rate of 10% and a false negative
rate of 3%. The rate of false positives and false negatives depends only on whether or not
the tested individual has the disease. What is the probability that an individual who tests
positive twice for the disease has the disease? What is the probability that an individual
who tests negative twice for the disease has the disease?

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