The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces andra standard deviation of 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 b What is the distribution of N c What is the probability that one randomly selected person drinks between 14 5 and 15 3 ounces of coffee per day d For the 33 people find the probability that the average coffee consumption is between 14 5 and 15 3 ounces of coffee per day e For part d is the assumption that the distribution is normal necessary Yes No