At one time there were 550,000 people in the US infected with HIV out of 250 mil
ID: 3127698 • Letter: A
Question
At one time there were 550,000 people in the US infected with HIV out of 250 million people in the US. The standard blood test for HIV infection is not always accurate. The probability that someone who is infected with HIV will test positive for HIV is 0.99. The probability that someone who is not infected with HIV will test negative for HIV is also 0.99. Answer the following questions. Suppose that a randomly chosen person takes the standard blood test for HIV, and the outcome of the test is positive. What is the probability that this person is infected with HIV?
Explanation / Answer
Probability that a randomly chosen person takes the standard blood test for HIV =550000/250million =22x10-3
The probability that the person who is infected with HIV will test positive for HIV is 0.99
suppose that a randomly chosen person takes the standard blood test for HIV, and the outcome of the test is positive. What is the probability that this person is infected with HIV =2.2x10-3x0.99 =0.002178
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