Question

suppose that 3% of all adults suffer from diabetes and that 30% 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 the nearest hundredth.

(b) find the probability that a randomly chosen adult is obese, given that he or she suffers from diabetes. round your answer to the nearest hundredth.

Explanation:

Define given probabilities

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Calculate probability for part (a)

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Calculate probability for part (b)

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Answer:

Question 1

(a) Find the probability that a randomly chosen adult who is obese also suffers from diabetes. Round your answer to the nearest hundredth.
0.07

Question 2

(b) Find the probability that a randomly chosen adult is obese, given that he or she suffers from diabetes. Round your answer to the nearest hundredth.
0.67