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Anni [7]
2 years ago
8

48. About 0.01% of men with no known risk behavior are infected with HIV. The false negative rate for the standard HIV test 0.01

% and the false positive rate is also 0.01%. If a randomly selected man with no known risk behavior tests positive for HIV, what is the probability that he is actually infected with HIV
Mathematics
1 answer:
babymother [125]2 years ago
5 0

Answer:

The probability that he is actually infected with HIV given that the man selected with no known risk behavior tests positive for HIV is 0.9999.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a man with no known risk behavior is infected with HIV

<em>Y</em> = the test is positive

The information provided is:

P (X) = 0.0001

P (Y'|X) = 0.0001

P (Y'|X') = 0.0001

Compute the probability that he is actually infected with HIV given that the man selected with no known risk behavior tests positive for HIV as follows:

P(Y|X) = 1-P(Y'|X)\\=1-0.0001\\=0.9999

Thus, the probability that he is actually infected with HIV given that the man selected with no known risk behavior tests positive for HIV is 0.9999.

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