The amount of syrup that people put on their pancakes is normally distributed with mean 56 mL and standard deviation 11 mL. Suppose that 15 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 54 mL and 55.8 mL.
4. For the group of 15 pancake eaters, find the probability that the average amount of syrup is between 54 mL and 55.8 mL.
5. For part d), is the assumption that the distribution is normal necessary? NoYes

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