MAT300-Suppose that 4 % of all adults suffer from diabetes and that 30% of all adults are obese

Subject: Mathematics    / Statistics
Question

Suppose that 4 % of all adults suffer from diabetes and that 30% of all adults are obese. Suppose also that 1% of all adults both are obese and suffer from diabetes.

(a) Find the probability that a randomly chosen adult is obese, given that he or she suffers from diabetes. Round your answer to 2 decimal places.

(b) Find the probability that a randomly chosen adult who is obese also suffers from diabetes. Round your answer to 2 decimal places.