SOLUTION: Suppose that 3% of all adults suffer from diabetes and that 28% of all adults are obese. Suppose also that 2% of all adults both are obese and suffer from diabetes. (a) Find the p

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose that 3% of all adults suffer from diabetes and that 28% of all adults are obese. Suppose also that 2% of all adults both are obese and suffer from diabetes. (a) Find the p      Log On


   



Question 1048594: Suppose that 3% of all adults suffer from diabetes and that 28% of all adults are obese. Suppose also that 2% of all adults both are obese and suffer from diabetes.
(a) Find the probability that a randomly chosen adult who is obese also suffers from diabetes. Round your answer to decimal places.
(b) Find the probability that a randomly chosen adult is obese, given that he or she suffers from diabetes. Round your answer to decimal places.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
P(A|B) = P(A and B)/P(B)
a) P( diabetic|obese)= %282%2F100%29+%2F+%2828%2F100%29 = 1/14
b) P(obese |diabetic)= %282%2F100%29%2F%283%2F100%29 = 2/3