In a certain population, 1% of the individuals are infected with a certain virus. A test is applied to the whole population and
- 29.7% of individuals test positive
- Out of the infected individuals, 99% test positive
- Out of the non infected individuals, 2% test positive
An individual is chosen at random. Consider the following events:
A = {the individual is infected} B = {the individual tests positive }
(a) What is P(B|A) and P(A|B)?
(b) Are the events A and B independent?