Engineering, 22.02.2021 19:50 BreadOfTheBear
Suppose that for the general population, 1 in 5000 people carries the human immunodeficiency virus (HIV). A test for the presence of HIV yields either a positive (+) or negative (-) response. Suppose the test gives the correct answer 99% of the time. What is P[-|H], the conditional probability that a person tests negative given that the person does have the HIV virus? What is P[H|+], the conditional probability that a randomly chosen person has the HIV virus given that the person tests positive?
Answers: 3
![P[HIV{+}] =\frac{1}{5000}](/tpl/images/1136/7292/77575.png)
![P[HIV{-}] =\frac{4999}{5000}](/tpl/images/1136/7292/5791a.png)
![P[TV] =\frac{99}{100}](/tpl/images/1136/7292/dfe0d.png)
![P[TX] =\frac{1}{100}](/tpl/images/1136/7292/27823.png)
![P[HIV{-}] = p[TX]= \frac{1}{100}](/tpl/images/1136/7292/3e7d8.png)
![P[HIV{+}] = \frac{P[HIV{-} \times HIV{-}]}{P{+}}](/tpl/images/1136/7292/a30d0.png)
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Suppose that for the general population, 1 in 5000 people carries the human immunodeficiency virus (...
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