The amount of syrup that people put on their pancakes is normally distributed with mean 62 mL and standard deviation 9 mL. Suppose that 44 randomly selected people are observed pouring syrup on their pancakes. Round z-scores to 2 decimal places for use in calculations. Round all other answers to 4 where possible. a. What is the distribution of X? X-N( b. What is the distribution of ? N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 63 mL and 64.1 mL. d. For the group of 44 pancake eaters, find the probability that the average amount of syrup is between 63 mL and 64.1 mL. e. For part d), is the assumption that the distribution is normal necessary? O No Yes