a. the probability of a false negative test results This corresponds to P (false | negative) = P (false) x P (negative) = (1 - P(true)) (1 - P(positive)) = (1 - 0.75)(1 - 0.88) = 0.03
b. he probability of a false positive test result = (1 - 0.75) (0.88) = 0.22