The amount of syrup that people put on their pancakes is normally distributed with mean 64 mL and standard deviation 10 mL. Suppose that 7 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 XX? XX ~ N(,)
2. What is the distribution of xx? xx ~ N(,)
3. If a single randomly selected individual is observed, find the probability that this person consumes is between 68.7 mL and 72.9 mL.
4. For the group of 7 pancake eaters, find the probability that the average amount of syrup is between 68.7 mL and 72.9 mL.
5. For part d), is the assumption that the distribution is normal necessary? NoYes