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18 April, 03:18

The following probabilities are based on data collected from U. S. adults during the National Health Interview Survey 2005-2007. Individuals are placed into a weight category based on weight, height, gender and age. Underweight Healthy Weight Overweight (Not Obese) Obese Probability 0.019 0.377 0.35 0.254 Based on this data, what is the probability that a randomly selected U. S. adult who weighs more than the healthy weight range is obese? 0.421

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  1. 18 April, 03:34
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    Required Probability = 0.421

    Step-by-step explanation:

    Let's first arrange the data given in a more presentable way: So, we have the following probabilities for different categories.

    Underweight (UW) = 0.019

    Healthy Weight (HW) = 0.377

    Overweight but Not Obese (NO) = 0.35

    Obese (O) = 0.254

    Now, let's calculate the probability that a randomly selected American adult who weighs more than the healthy weight range is obese:

    Required Probability = Probability (obese) / Probability (Overweight + Obese)

    = P (O) / P (NO + O)

    =0.254 / (0.35+0.254)

    Required Probability = 0.421

    where, O for Obese and NO for Not Obese or Overweight but Not Obese.

    So, the correct answer = 0.421
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