In: Math
A) Body mass index (BMI) in children is approximately normally distributed with a mean of 24.5 and a standard deviation of 6.2. A BMI between 25 and 30 is considered overweight. What proportion of children are overweight? (Hint: p[25<x<30]. Answer in 0.0000 format, NOT in percentage format. Round to 4 decimal places)
B) If BMI larger than 30 is considered obese, what proportion of children are obese? (Answer in 0.0000 format, NOT in percentage format. Round to 4 decimal places).
C)Based on information provided in Question 42, in a random sample of 10 children, what is the probability that their mean BMI exceeds 25? (Hint: Central Limit Theorem. Answer in 0.0000 format, NOT in percentage format. Round to 4 decimal places)