In a certain region of the country it is known from past experience that the probability
of selecting an adult over 40 years of age with cancer is 0.05.If the probability of a
doctor correctly diagnosing a person with cancer as having the disease is 0.78 and the
probability of incorrectly diagnosing a person without cancer as having the disease is
0.06,what is the probability that a person is diagnosed as having cancer?