A diagnostic test has a 95% probability of giving a positiveresult when given to a person who has a certain disease. It has a10% probability of giving a (false) positive result when given to aperson who doesn’t have the disease. It is estimated that 15% ofthe population suffers from this disease.
(a) What is the probability that a test result is positive?
(b) A person recieves a positive test result. What is theprobability that this person actually has the disease? (probabilityof a true positive)
(c) A person recieves a positive test result. What is theprobability that this person doesn’t actually have the disease?(probability of a false negative)
