2 During an outbreak of a disease, it is known that \(68 \%\) of people do not have the disease. Of people with the disease, \(96 \%\) react positively to a test for diagnosing it, as do \(m \%\) of people who do not have the disease.
- In the case \(m = 8\), find the probability that a randomly chosen person has the disease, given that the person reacts positively to the test.
- What value of \(m\) would be required for the answer to part (i) to be 0.95 ?