3. Suppose 10% of residents in a community have diabetes, 20% of the diabetes cases have obesity,...

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3. Suppose 10% of residents in a community have diabetes, 20% of the diabetes cases have obesity, and 10% of residents without diabetes have obesity. Suppose one resident in this community is randomly selected.

(a) Given that this person has diabetes, what is the probability that this person has obesity?

(b) What is the probability that this person has diabetes and obesity?

(c) What is the probability that this person has obesity?

(d) Is having diabetes independent of having obesity?

(e) Given that this person does not have obesity, what is the probability that this person has diabetes?

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