The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 6 ounces. 33 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N([:],:]) b. What is the distribution of is? i ~ N([:],:]) c. What is the probability that one randomly selected person drinks between 14.6 and 15.2 ounces of coffee per day? :] d. For the 33 people, find the probability that the average coffee consumption is between 14.6 and 15.2 ounces of coffee per day. :] e. For part d), is the assumption that the distribution is normal necessary? 0 Yes O No f. Find the IQR for the average of 33 coffee drinkers. Q1 = ounces IQR: OUHCES :] Q3 - C] :l