An alarming number of U.S. adults are either overweight or obese. The distinction between overweight and obese is made on the basis of body mass index (BMI), expressed as weight/height2. An adult is considered overweight if the BMI is 25 or more but less than 30. An obese adult will have a BMI of 30 or greater. According to a January 2012 article in the Journal of the American Medical Association, 33.1% of the adult population in the United States is overweight and 35.7% is obese. Use this information to answer the following questions.

a. What is the probability that a randomly selected adult is either overweight or obese?

b. What is the probability that a randomly selected adult is neither overweight nor obese?

c. Are the events “overweight” and “obese” exhaustive?

d. Are the events “overweight” and “obese” mutually exclusive?