According to data from the National Health and Nutrition Examination Survey, 33% of white, 49.6% of black, 43% of Hispanic, and 8.9% of Asian women are obese. In a representative town, 48% of women are white, 19% are black, 26% are Hispanic, and the remaining 7% are Asian. Find the probability that a randomly selected woman in this town is obese. Given that a woman is obese, what is the probability that she is white? Given that a woman is obese, what is the probability that she is black? Given that a woman is obese, what is the probability that she is Asian?

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According to data from the National Health and Nutrition Examination Survey, 33% of white, 49.6% of black, 43% of Hispanic, and 8.9% of Asian women are obese. In a representative town, 48% of women are white, 19% are black, 26% are Hispanic, and the remaining 7% are Asian.

 

  1. Find the probability that a randomly selected woman in this town is obese.
  2. Given that a woman is obese, what is the probability that she is white?
  3. Given that a woman is obese, what is the probability that she is black?
  4. Given that a woman is obese, what is the probability that she is Asian?
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