Question

In: Statistics and Probability

A diagnostic test has a probability 0.95 of giving a positive result when applied to a...

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.

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