Question

Suppose a test for diagnosing a certain serious disease is successful in detecting the disease in 95% of all persons infected, but that it incorrectly diagnoses 4% of all healthy people as having the serious disease. If it is known that 2% of the population has the serious disease.

Find the probability that a person selected at random has the serious disease if the test indicates that he or she does.

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Answer 1

here 2% of all person has series disease . total number is 1000 . so number of total infected = 0.02*1000=20 number of total not infected= 1000-20= 980 95% of all infected is diogonised succesfully . so number of inf

Explanation:

here 2% of all person has series disease . total number is 1000 . so number of total infected = 0.02*1000=20 number of total not infected= 1000-20= 980 95% of all infected is diogonised succesfully . so number of infhere 2% of all person has series disease . total number is 1000 . so number of total infected = 0.02*1000=20 number of total not infected= 1000-20= 980 95% of all infected is diogonised succesfully . so number of inf