Using Bayes' theorem, calculate the probability that a person who has had a positive test for a disease actually has the illness. Typically the test gives a correct positive result 90.0% of the time when a person has the illness. and gives an incorrect positive result 1.0% of the time when the person does not. Assume that 0.3% of the population has the illness, and the person who is tested was selected at random without necessarily showing any symptoms. Give your answer as a percentage with one digit after the decimal point. How would your answer in the previous part change if only people who showed symptoms typical of the illness were tested. and why?

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....
icon
Related questions
Topic Video
Question
100%

aaaanswer all with example and sketch. thank you /

Using Bayes' theorem, calculate
the probability that a person who
has had a positive test for a
disease actually has the illness.
Typically the test gives a correct
positive result 90.0% of the time
when a person has the illness.
and gives an incorrect positive
result 1.0% of the time when the
person does not. Assume that
0.3% of the population has the
illness, and the person who is
tested was selected at random
without necessarily showing any
symptoms. Give your answer as
a percentage with one digit after
the decimal point.
How would your answer in the
previous part change if only
people who showed symptoms
typical of the illness were tested.
and why?
Transcribed Image Text:Using Bayes' theorem, calculate the probability that a person who has had a positive test for a disease actually has the illness. Typically the test gives a correct positive result 90.0% of the time when a person has the illness. and gives an incorrect positive result 1.0% of the time when the person does not. Assume that 0.3% of the population has the illness, and the person who is tested was selected at random without necessarily showing any symptoms. Give your answer as a percentage with one digit after the decimal point. How would your answer in the previous part change if only people who showed symptoms typical of the illness were tested. and why?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning