A certain affects virus 0.7% of the population. A test used to detect the virus in a person is positive 89% df che time if the person has the virus (true positive) and 15% of the time if the person does not have the viru (false postive). Fill out the remainder of the following table and use it to answer the two questions below. Total Infected Not Infected Positive Test Negative Test Total 700 99,300 100,000 a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Infected | Positive Test)= b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Not Infected | Negative Test)

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 8CR
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A certain affects virus 0.7% of the population. A test used to detect the virus in a person is positive 89% of
the time if the person has the virus (true positive) and 15% of the time if the person does not have the virus
(false postive). Fill out the remainder of the following table and use it to answer the two questions below.
Infected Not Infected
Total
Positive Test
Negative Test
Total
700
99,300
100,000
a) Find the probability that a person has the virus given that they have tested positive. Round your answer
to the nearest tenth of a percent and do not include a percent sign.
P(Infected | Positive Test)=
b) Find the probability that a person does not have the virus given that they test negative. Round your
answer to the nearest tenth of a percent and do not include a percent sign.
P(Not Infected | Negative Test) =
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Transcribed Image Text:A certain affects virus 0.7% of the population. A test used to detect the virus in a person is positive 89% of the time if the person has the virus (true positive) and 15% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. Infected Not Infected Total Positive Test Negative Test Total 700 99,300 100,000 a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Infected | Positive Test)= b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Not Infected | Negative Test) = > Next Question Type here to search さー Prisc F7 F9 & 8 3 4. E R T Y AU F G C V M Alt
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P(A |B) = p(A B)P(B)

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