This is for fun. Any genius' out there lol? Suppose a basketball player, Player A, made 80% of her free throw attempts last season and that she continues to shoot free throws at the same rate. Assume that free throw attempts are independent. Let the random variable X be the number of free throws that player A makes in her next 15 attempts. a) What is the distribution of X? b) Find the mean and standard deviation of X. c) Find the probability that player A makes exactly 10 free throws. d) Find the probability that player A makes at least 8 free throws.