Tom believes that there is a 99.99% chance that he is not infected with the HIV virus. Tom takes an HIV test which he believes has an accuracy of 99% and is symmetric (when the subject has HIV, the...

Tom believes that there is a 99.99% chance that he is not infected with the HIV virus. Tom takes an HIV test which he believes has an accuracy of 99% and is symmetric (when the subject has HIV, the test flags presence of HIV correctly 99% of the time, and when the subject does not have HIV, the test flags absence ofHIV correctly 99% of the time). The test comes back positive, indicating he is infected. Given his beliefs, in what range is p, the probability Tom assigns to HIV infection?

a. 98% ^ p <><>

c. S% <><>