The amount of syrup that people put on their pancakes is normally distributed with mean 59 mL and standard deviation 8 mL. Suppose that 42 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where ossible a. What is the distribution of X? X ~N b. What is the distribution of x? ~N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 60 mL and 61.5 mL the probability that the average amount mL. d. For the group of 42 pancake eaters, find of syrup is between 60 mL, and 61.5 e. For part d), is the assumption that the distribution is normal necessary? c