A certain affects virus 0.9% of the population. A test used to detect the virus in...
A certain affects virus 0.9% of the population. A test used to detect the virus in a person is positive 87% 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 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 | 900 | 99,100 | 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) = %
Homework Answers
a.
P(a person has the virus given that they have tested positive) = 783/10693 = 0.07322 = 7.3%
b.
P(Not Infected | Negative Test) = 89190/89307 = 0.9986 = 99.87%
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