Respuesta :
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:
X = a man with no known risk behavior is infected with HIV
Y = 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:
[tex]P(Y|X) = 1-P(Y'|X)\\=1-0.0001\\=0.9999[/tex]
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.
