Need help solving the last 3 problems!

The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 6 ounces. 13 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( 16 6 b. What is the distribution of a? X - N( 16 1.66 11 v c. What is the probability that one randomly selected person drinks between 14.5 and 17.5 ounces of coffee per day? | 0.1974 o d. For the 13 people, find the probability that the average coffee consumption is between 14.5 and 17.5 ounces of coffee per day. 0.6326 e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes f. Find the IQR for the average of 13 coffee drinkers. Q1 = ounces Q3 = ounces IQR: ounces