The amount of syrup that people put on their pancakes is normally distributed with mean 58 mL and standard deviation 10 mL. Suppose that 11 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible.

1. What is the distribution of X? ~ X(,)
2. What is the distribution of X? X ~ N(,)
3. If a single randomly selected individual is observed, find the probability that the amount of syrup this person consumes is between 55.2 mL and 57.1 mL.
4. For the group of 11 pancake eaters, find the probability that the average amount of syrup is between 55.2 mL and 57.1 mL.
5. For part d), is the assumption that the distribution is normal necessary? Yes No