The probability that a person has a certain disease is 0.03
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 0.92
If the disease is not actually present, the probability of
a positive test result (indicating that the disease
is present) is 0.02
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?