The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 5 ounces. 12 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N{C],[:]) b. What is the distribution of 5-2 :2 - N(C],C]) c. What is the probability that one randomly selected person drinks between 13.5 and 15.5 ounces of coffee per day? S d. For the 12 people, find the probability that the average coffee consumption is between 13.5 and 15.5 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary? Yes No f. Find the lQR for the average of 12 coffee drinkers. Q1 = 0.3 = IQR: I ounces OUNCES k OUHCES HUD