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
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
icon
Related questions
Question

7

 

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.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage