Brian buys a computer for £900.
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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:
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.