Answer:
Given,
P(HIV) = 0.259
So,
P(Not HIV) = 1 - 0.259 = 0.741
P(Test positive |HIV) = 0.997
P(Test negative |Not HIV) = 0.926
Hence,
P(Test positive |Not HIV) = 1 - 0.926 = 0.074
Using Baye's theorem,
P(HIV |Test positive)
= 0.8248
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