The probability that a person has a certain disease is 0.02. Medical diagnostic tests are available to determine
whether the person actually has the disease. If the disease is actually present, the probability that the medical
diagnostic test will give a positive result (indicating that the disease is present) is 0.88. If the disease is not actually
present, the probability of a positive test result (indicating that the disease is present) is 0.01.
a. If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the
probability that the disease is actually present?
b. If the medical diagnostic test has given a negative result (indicating that the disease is not present), what is the
probability that the disease is not present?
a. The probability is
(Round to three decimal places as needed.)
b. The probability is
(Round to three decimal places as needed.)