It is estimated that approximately 8.49% americans are afflicted with diabetes. suppose that a certain diagnostic evaluation for diabetes will correctly diagnose 95.5% of all adults over 40 with diabetes as having the disease and incorrectly diagnoses 2% of all adults over 40 without diabetes as having the disease. a) find the probability that a randomly selected adult over 40 does not have diabetes, and is diagnosed as having diabetes (such diagnoses are called "false positives").

b) find the probability that a randomly selected adult of 40 is diagnosed as not having diabetes.

c) find the probability that a randomly selected adult over 40 actually has diabetes, given that he/she is diagnosed as not having diabetes (such diagnoses are called "false negatives").