The amount of coffee that people drink per day is normally distributed with a mean of 1? ounces and a standard deviation of 5 ounces. 15 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N[--] o\" o\" b. What is the distribution of E? E v N-, 1.291 J} o\" C!\" c. What is the probability that one randomly selected person drinks between 16.5 and 18 ounces of coffee per day? {1.1191 V' .0" d. For the 15 people, find the probability that the average coffee consumption is between 16.5 and 13 ounces of coffee per day. i l e. For part d], is the assumption that the distribution is normal necessary? 0 YesO No f. Find the IQR for the average of 15 coffee drinkers. Q1 = l 'ounces Q3 = l 'ounces IQR: I J ounces