3 Study has shown that 250 out 1000 people have a kind of di

3. Study has shown that 250 out 1,000 people have a kind of disease. Tests show that 99% are positive when they have a disease and 2% are positive when they don?t. Find the probability that people actually have a disease when the test is positive.

Solution

Given

D =disease

T =test

P( D⁺) = 250/1000=0.25

P( D^-) =0.75

P( T⁺/D⁺) =0.99

P(T⁺/D^-) =0.02

Bayee