A certain disease has an incidence rate of 0.2%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.

32%

Step-by-step explanation:

Imagine 100000 people are tested.

Of these 100000:

10000080.02 = 2000 will have the disease

8% of them:

2000*0.08 = or 160, will test negative and the remaining 1840 will test positive.

Of the 98000 who do not have the disease, 4% will test positive:

98000*0.04 = 3920 will test positive

So of the:

1840+3920 = 5760 total people who test positive, 1840 will have the disease

Thus, the probability is:

1840/ 5760 ≈0.3194 = 32%

So, out of people who test positive actually 32% has the disease.