The amount of syrup that people put on their pancakes is normally distributed with mean 55 mL and standard deviation 8 mL. Suppose that 45 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( b. What is the distribution of 1? I ~ N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 54.2 mL and 54.8 ml. d. For the group of 45 pancake eaters, find the probability that the average amount of syrup is between 54.2 mL and 54.8 mL. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes