In a rural area the fraction of the population that is HIV infected is 0.0002 (2 people per 10,000). The blood test for HIV infection returns a "positive" test result 98% of the time when the test is used on an infected person, and 1% of the time when used on an uninfected person.

What is the probability that a randomly tested person from this area will get a "positive" result?

If a person's test result comes back "positive," what is the probability he is actually HIV infected?