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What is the (conditional) probability that a patient actually has the disease given that the test is positive for the disease? Answer as a fraction (do not convert your answer to a percentage).

What is the (conditional) probability that a patient actually has the disease given that the test is positive for the disease? Answer as a fraction (do not convert your answer to a percentage).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question S Suppose a CT scan indicates the presence of a disease 90% of the time when the disease is actually present in an individual. Here is the information about the diagnostic test: • The probability of someone having the disease is 1% (0.01). • A person with the disease has a 90% chance of a positive test from a CT scan, while a person without has a 10% chance of a false positive result. What is the (conditional) probability that a patient actually has the disease given that the test is positive for the disease? Answer as a fraction (do not convert your answer to a percentage). Round off your answer up to 2 decimal places.
Transcribed Image Text:Question S Suppose a CT scan indicates the presence of a disease 90% of the time when the disease is actually present in an individual. Here is the information about the diagnostic test: • The probability of someone having the disease is 1% (0.01). • A person with the disease has a 90% chance of a positive test from a CT scan, while a person without has a 10% chance of a false positive result. What is the (conditional) probability that a patient actually has the disease given that the test is positive for the disease? Answer as a fraction (do not convert your answer to a percentage). Round off your answer up to 2 decimal places.
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