The amount of coffee that people drink per day is normally distIi buted with a mean of 1d ounces and a standard deviation of 5 ounces. 31 randomlyr selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X n H{:].:]] b. What is the distribution of E? E MELD} c. What is the probability that one randomly selected person drinks between 15.5 and 16.5 ounces of coffee per day? :1 d. For the 32 people, find the probability that the average coffee consumption is between 15.5 and 1&5 ounces of coffee per day. :1 e. For part d], is the assumption that the distribution is normal necessary? O 1100 Yes f. Find the IQR for the average of 31 coffee dIinkers. [11 = ounces S mg... C IQR: ounces