Problem 10. Consider a density for the proportion of a person's body that is covered in freckles. X. given by f(1') = r21: fungi S l and some constant r:. a. What value of r: mak this function a valid density? b. What is the mean and variance of this density? c. You simulated 100,000 sample means. each comprised of 100 draws from this density. You then took the variance of those 100,000 numbers. Approximately what number did you obtain? (Explain)