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).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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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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