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Medical records show that 0.01% of the general adult population not belonging to a high-risk group (for example, intravenous drug users) are HIV-positive. Blood tests for the virus are 99.9% accurate when given to some- one infected and 99.99% accurate when given to someone not infected. What is the probability that a random adult not in a high-risk group will test positive for the HIV virus?

Respuesta :

pedrocarratore

Answer:

0.019989%

Step-by-step explanation:

The probability that a random adult not in a high-risk group will test positive for the HIV virus is determined by the probability of them being HIV-positive (0.01%) and the test being accurate (99.9%), added to the probability of them being HIV-negative (100%-0.01%) and the test not being accurate (100%-99.99%):

[tex]P(+)=0.0001*0.999+(1-0.0001)*(1-0.9999)\\P(+)=0.00019989 = 0.019989\%[/tex]

The probability is 0.019989%.

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