A certain affects virus 0.2% of the population. A test used to detect the virus in a person is positive 90% 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 200 99,800 100,000 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) = %
A certain affects virus 0.2% of the population. A test used to detect the virus in a person is positive 90% 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 | 200 | 99,800 | 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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