Tom takes another HIV test. Tom believes that this test is 99% accurate, symmetric (per definition in previous question), and is irrelevant to the first test given his state of infection. Given his...

Tom takes another HIV test. Tom believes that this test is 99% accurate, symmetric (per definition in previous question), and is irrelevant to the first test given his state of infection. Given his beliefs and the information from the previous problem, in what range is p, the probability Tom assigns that the test will come back positive?

a. !%

b. 4% ^ p

c. 98% ^ p

d. Cannot be determined with the given information.