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
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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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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?
Transcribed Image Text: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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