Answer:
The probability that a randomly chosen person gets an incorrect diagnosis is 2.965% = 0.02965.
Step-by-step explanation:
Given, The test to detect the presence of a liver disorder is 98% accurate for a person who has the disease.
so, probability of incorrect diagnosis = 100-98 = 2% = 0.02.
and 97% accurate for a person who does not have the disease.
so, probability of incorrect diagnosis = 100-97 = 3% = 0.03.
And 3.5% of the people in a given population actually have the disorder.
⇒ the probability that a randomly chosen person gets an incorrect diagnosis is (3.5% × 0.02) + (96.5% × 0.03) = 2.965% = 0.02965.
