Doctor prescribes screening test for Hepatitis B (HB), since it affects 2% of population. However, test is not perfectly accurate!• If you have HB, test is positive (+) with•P(+|HB)= 0.96 If you are healthy, test is negative (−) with• P(-|HB) = 0.98
1. Find the unconditional probability of having HB.
2. Find the unconditional probability of testing +.
