5. Body mass index (BMI) is commonly used to estimate a healthy body weight based on how tall a person is. Suppose that we model the BMI measurements via normal distribution with mean u=40 and standard deviation o-5. Let S denote the sample variance (a) If a random sample of 26 severely obese patients is observed i. what is the sampling distribution of S? ii. Find P(S2 12) ii. Find gl and g2 so that P( g1