9-8. Predictive Value: Diabetes<br/>In a certain community, eight

percent of all adults over age 50 have diabetes. If a health service in this community correctly diagnosis 95% of all persons with diabetes as having the disease and incorrectly diagnoses ten percent of all persons without diabetes as having the disease, find the probabilities that:

-The health service will diagnose an adult over age 50 as having diabetes.
-A person over 50 diagnosed by the health service as having diabetes actually has the disease.