Question

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

Answer 1

Answer:

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