Suppose a certain virus (sorry!) affects 0.3% of the population. A test used to detect the virus is positive 88% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false positive). Fill out the rest of the table and use it to answer the questions based on a total sample of 100,000 people. Virus No Virus Total Positive Test Negative Test Total 100,000 a) Find the probability that a person has the virus given that they have tested positive. Give your answer as a percent rounded to two places after the decimal. Don't enter the % symbol. b) Find the probability that a person does not have the virus given that they test negative. Give your answer as a percent rounded to two places after the decimal. Don't enter the % symbol.
Suppose a certain virus (sorry!) affects 0.3% of the population. A test used to detect the virus is positive 88% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false positive). Fill out the rest of the table and use it to answer the questions based on a total sample of 100,000 people. Virus No Virus Total Positive Test Negative Test Total 100,000 a) Find the probability that a person has the virus given that they have tested positive. Give your answer as a percent rounded to two places after the decimal. Don't enter the % symbol. b) Find the probability that a person does not have the virus given that they test negative. Give your answer as a percent rounded to two places after the decimal. Don't enter the % symbol.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 7CR
Related questions
Question
Transcribed Image Text:Suppose a certain virus (sorry!) affects 0.3% of the population.
A test used to detect the virus is positive 88% of the time if the person has the virus (true positive) and 10% of
the time if the person does not have the virus (false positive).
Fill out the rest of the table and use it to answer the questions based on a total sample of 100,000 people.
Virus
No Virus
Total
Positive Test
Negative Test
Total
100,000
a) Find the probability that a person has the virus given that they have tested positive.
Give your answer as a percent rounded to two places after the decimal. Don't enter the % symbol.
b) Find the probability that a person does not have the virus given that they test negative.
Give your answer as a percent rounded to two places after the decimal. Don't enter the % symbol.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
