The amount of syrup that people put on their pancakes is normally distributed with mean 61 mL and standard deviation 10 mL. Suppose that 6 randomly selected people are observed pouring syrup on their...

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Extracted text: The amount of syrup that people put on their pancakes is normally distributed with mean 61 mL and standard deviation 10 mL. Suppose that 6 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 ~ N b. What is the distribution of ? T ~ N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 61.3 mL and 66.4 mL. d. For the group of 6 pancake eaters, find the probability that the average amount of syrup is between 61.3 mL and 66.4 mL.