A blood test indicates the presence of a particular disease 99% of the time when the disease is actually present. The same test indicates the presence of the disease 0.5% of the time when the disease is not present. Four percent of the population actually has the disease. Calculate the probability that a person has the disease, given that the test indicates the presence of the disease. Choose the correct answer below. A. 0.99 B. 0.892 C. 0.98 D. 0.042
A blood test indicates the presence of a particular disease 99% of the time when the disease is actually present. The same test indicates the presence of the disease 0.5% of the time when the disease is not present. Four percent of the population actually has the disease. Calculate the probability that a person has the disease, given that the test indicates the presence of the disease. Choose the correct answer below. A. 0.99 B. 0.892 C. 0.98 D. 0.042
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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Step 1: Given information
The provided information is as follows:
The probability of having the disease is 4%.
The probability of the test indicating the presence of the disease given that the disease is actually present is 99%.
The probability of the test indicating the presence of the disease given that the disease is not present is 0.5%.
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