2. BMI in children is approximately normally distributed with a mean of 24.5 and a standard deviation of 5.7.

a. A BMI between 25 and 30 is considered overweight. What it the probability of randomly picking a child who is overweight?

b. A BMI of 30 or more is considered obese. What proportion of children are obese?

c. What percentage of children are considered normal/underweight (BMI less than 25)?

d. Imagine taking a sample of 9 children. How much error would you expect to find between the sample and the population (what is the SE)?

e. What is the probability of selecting 9 children who, on average, are considered obese (BMI greater than 30)?

f. (Bonus) Why is there a difference between the answers in b and e?