Question

3 of 15 (13 completo) HW Score: 76.67%, 11.5 of 15 pts 4.3.32 Question Help 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 0.642.(Round to three decimal places as needed.) b. The probability is (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer Final Check Clear All All parts showing w À X AN 21

Answer 1

p(negatiree) = P(not disease) (negative (not disease) + Pl disease) p (negative / disease) (1-0.02) *1-0.01) +0.02x(1-0-88) 2 - 0.9726 b) required probability P(not disease) negative) (0.02)x(1-0.01) 2 = 0.998 0.9726 PRESS LIKE