In: Statistics and Probability
A diagnostic test has a probability 0.95 of giving a positive result when applied to a
person suffering from a certain disease, and a probability 0.10 of giving a (false) pos-
itive when applied to a non-sufferer. It is estimated that 0.5% of the population are
sufferers. Suppose that the test is now administered to a person about whom we have
no relevant information relating to the disease (apart from the fact that he/she comes
from this population). Calculate the following probabilities:
a) that, given a positive result, the person is a sufferer;
b) hat, given a negative result, the person is a non-sufferer.