About 05 of the American population carries HIV For those wh

About 0.5% of the American population carries HIV. For those who carry HIV, the test results are positive (+) in 98.7% of the cases. For those who do not carry HIV, the test results are negative (-) in 94.6% of the cases.

Given that a person have positive (+) test result what is the probability that he/she actually carries HIV. Please show how answers were found