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Bayes' Theorem

Suppose that ...

Question

Suppose that the reliability of a HIV test is specified as follows:Of people having HIV, $90$ of the test detect the disease but $10$ go undetected. Of people free of HIV, $99$ of the test are judged HIV-ive but $1$ are diagnosed as showing HIV+ive. From a large population of which only $0.1$ have HIV, one person is selected at random, given the HIV test, and the pathologist reports him/her as HIV+ive. What is the probability that the person actually has HIV?

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Solution

E- Person selected has hiv
F- does not have hiv
G- Test judge hiv positive

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Q29. Consider the following statements

1. NITI Aayog in cooperation with World Bank has launched free ‘Viral load testing to people living with HIV/AIDS.

2. Viral load kits are used to determine the severity of an infection before deciding on the treatment regimen that is appropriate for HIV patients.

3. India has the third largest population of people with HIV, according to UNAIDS.

Which of the above statement(s) is/are correct?

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