A certain virus affects 0.1% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 12% of the time if the person does not have the virus (false positive). 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 100 99,900 100,000 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) =
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A certain virus affects 0.1% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 12% of the time if the person does not have the virus (false positive). 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 | 100 | 99,900 | 100,000 |
a) Find the
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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