3) Ron is an 75% free throw shooter. At practice, each player shoots 20 free throws. Let X = the number of free throws Ron makes out of 20 shots. (a) Use the four criteria, B.I.N.S. to explain why this is a binomial setting. (8 points) (b) Use the binomial probability formula to find P(X - 14). Interpret this value in context by writing one or more complete sentences. Show all work. (4 points) P(X - k) = n Ck.p*(1-p)"* in! ki(n-k)! (c) Calculate the mean of X. Show all work. (2 points) (d) Calculate the standard deviation of X. Show all work. (2 points) yup (1 - p)