Consider a medical test for a disease, D. The test mostly gives the right answer, but not always. Say its false-negative rate is 1% and its false-positive rate is 2%, that is,
P(y | D) = 0.99;
P(n | D) = 0.01;
P(y | ¬D) = 0.02;
P(n | ¬D) = 0.98.
Assume that you perform the test 4 times in a...