Question

suppose that 3% of all adults suffer from diabetes and that 32% of all adults are obese. suppose also that 2% of all adults both are obese and suffer from diabetes.

answer the questions below. (if necessary, consult a list of formulas.)

(a) find the probability that a randomly chosen obese adult suffers from diabetes. round your answer to 2 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 2 decimal places.

Explanation:

Define the events and given probabilities

Using the Probability of Events knowledge point

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Calculate the probability for part (a)

Using the Conditional Probability knowledge point

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Calculate the probability for part (b)

Using the Conditional Probability knowledge point

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Answer:

Question 1

(a) Find the probability that a randomly chosen obese adult suffers from diabetes. Round your answer to 2 decimal places.
<blank>0.06</blank>

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 2 decimal places.
<blank>0.67</blank>