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According to recent studies, 57.6% of American citizens are overweight. Suppose that 17% of those who...

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According to recent studies, 57.6% of American citizens areoverweight. Suppose that 17% of those who are overweight arechildren. If American citizen is randomly selected, determine thefollowing probabilities:
a) Selected citizen is overweight and a child
b) Selected citizen is not a child given that he/she isoverweight
c) Selected citizen is not a child and is not overweight

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4.0 Ratings (611 Votes)

P(overweight) = 0.576

P(children | overweight) = 0.17

a) P(overweight and child) = P(children | overweight) * P(overweight)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.17 * 0.576

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.0979

b) P(not child | overweight) = 1 - P(children | overweight)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 1 - 0.17

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.83

c) Probability of children who given that they are not overweight is missing. So we can't find P(not child and not overweight)

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