Question

The following probabilities are based on data collected from U.S. adults. Individuals are placed into a weight category based on weight, height, gender and age.

Underweight Healthy Weight Overweight (not Obese) Obese
Probability 0.017 0.377 0.343 0.263

Based on this data, what is the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) range?

Answer 1

the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394

Explanation:

Given the data in the question;

Underweight Healthy Weight Overweight (not Obese) Obese

Probability 0.017 0.377 0.343 0.263

so

P( underweight) = 0.017

P( Healthy Weight) = 0.377

P( Overweight (not Obese) ) = 0.343

P( Obese ) = 0.263

now, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) range will be;

P( weigh less than overweight(but not obese) = P( underweight) + P( Healthy Weight)

P( weigh less than overweight(but not obese) = 0.017 + 0.377

P( weigh less than overweight(but not obese) = 0.394

Therefore, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394