The probability that a person with certain symptoms has hepatitis is 0.8. The blood test used to confirm this diagnosis gives positive results for 90% of people with the disease and 5% of those without the disease. What is the probability that an individual who has the symptoms and who reacts positively to the test actually has hepatitis? The probability is (Type an integer or decimal rounded to four decimal places as needed.)
The probability that a person with certain symptoms has hepatitis is 0.8. The blood test used to confirm this diagnosis gives positive results for 90% of people with the disease and 5% of those without the disease. What is the probability that an individual who has the symptoms and who reacts positively to the test actually has hepatitis? The probability is (Type an integer or decimal rounded to four decimal places as needed.)
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
Related questions
Question
![The probability that a person with certain symptoms has hepatitis is 0.8. The blood test used to confirm this diagnosis
gives positive results for 90% of people with the disease and 5% of those without the disease. What is the probability
that an individual who has the symptoms and who reacts positively to the test actually has hepatitis?
The probability is
(Type an integer or decimal rounded to four decimal
places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F940311b9-5876-4193-b2f2-017f83b935f7%2F187b56b9-343b-43c5-a49f-e555cce4682e%2Fuuvmtho_processed.png&w=3840&q=75)
Transcribed Image Text:The probability that a person with certain symptoms has hepatitis is 0.8. The blood test used to confirm this diagnosis
gives positive results for 90% of people with the disease and 5% of those without the disease. What is the probability
that an individual who has the symptoms and who reacts positively to the test actually has hepatitis?
The probability is
(Type an integer or decimal rounded to four decimal
places as needed.)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
event A : has hepatitis
event+ve : test positive
P(A) = 0.8
P(A') = 1 -0.8 =0.2
P(+ve|A) = 0.90
P(+ve|A') = 0.05
P(A|+ve) = ?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)