The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 6.5 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( 17 6.5 b. What is the distribution of x? x ~ N( 17 1.1315 c. What is the probability that one randomly selected person drinks between 16.7 and 17.2 ounces of coffee per day? | 0.0323 X d. For the 33 people, find the probability that the average coffee consumption is between 16.7 and 17.2 ounces of coffee per day. 0.1766 X e. For part d), is the assumption that the distribution is normal necessary? O Yes No f. Find the IQR for the average of 33 coffee drinkers. Q1 = 16.2362 ounces Q3 = 17.7638 ounces IQR: 1.5276 ounces