The test has been administered the results say that the individual has the disease. What is the probability that the person actually has the disease assuming that the probability of having the disease regardless of the test results is 1/10000?

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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If a person has a specific disease, then a certain test for the disease is guaranteed to detect it.
However, if they don't have that diseases, then the test says they don't have the disease 99% of
the time (99% accuracy).
The test has been administered the results say that the individual has the disease. What is the
probability that the person actually has the disease assuming that the probability of having the
disease regardless of the test results is 1/10000?
Respond with a decimal representation rounded to 2 decimals for this probability value.
Transcribed Image Text:If a person has a specific disease, then a certain test for the disease is guaranteed to detect it. However, if they don't have that diseases, then the test says they don't have the disease 99% of the time (99% accuracy). The test has been administered the results say that the individual has the disease. What is the probability that the person actually has the disease assuming that the probability of having the disease regardless of the test results is 1/10000? Respond with a decimal representation rounded to 2 decimals for this probability value.
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