Question

Consider a laboratory test to detect a disease.

Let A = {event that the tested person has the disease}

B = {event that the test result is positive}

and it is known that P(B|A) = 0.99, P(B|Ac ) = 0.005, and 0.1 percent of the population actually has the disease.

What is the probability that a person has the disease given that a test is positive?

a. Work the problem analytically.

b. Write a MATLAB simulator to verify your answer.

Answer 1

ANSWER:

Given that