The amount of syrup that people put on their pancakes is normally distributed with mean 56 mL and standard deviation 8 mL. Suppose that 11 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 ~ Ni:',:'} b. What is the distribution of :E? 5: ~ N[:],[:') c. If a single randomly selected individual is observed, find the probability that this person consumes is between 53.9 mL and 55.? mL. :1 d. For the group of 11 pancake eaters, find the probability that the average amount of symp is between 53.5 mL and 55.? mL. :] e. For part d}, is the assumption that the distribution is normal necessary? 0 YesO Ho