Swaziland has the highest HIV prevalence in the world: 25.9% of this country's population is infected with HIV.66 The ELISA test is one of the first and most accurate tests for HIV. For those who carry HIV, the ELISA test is 99.7% accurate. For those who do not carry HIV, the test is 92.6% accurate. If an individual from Swaziland has tested positive, what is the probability that he carries HIV? A. Draw a tree diagram (marginal probabilities in the primary branch and conditional probabilities in the secondary branches). B. If an individual from Swaziland has tested positive, what is the probability that he carries HIV?
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.
Swaziland has the highest HIV prevalence in the world: 25.9% of this country's population is infected with HIV.66 The ELISA test is one of the first and most accurate tests for HIV. For those who carry HIV, the ELISA test is 99.7% accurate. For those who do not carry HIV, the test is 92.6% accurate. If an individual from Swaziland has tested positive, what is the
A. Draw a tree diagram (marginal probabilities in the primary branch and conditional probabilities in the secondary branches).
B. If an individual from Swaziland has tested positive, what is the probability that he carries HIV?
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