signments > Chapter 7: Central Limit Theorem (Mean) Chapter 7: Central Limit Theorem (Mean) Due Sunday by 11:59pm Points 10 Submitting an external tool Chapter 7: Central Limit Theorem (Mean) Score: 3/10 3/10 answered Question 5 The amount of syrup that people put on their pancakes is normally distributed with mean 57 mL and standard deviation 7 mL. Suppose that 48 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 I? i - N c. If a single randomly selected individual is observed, find the probability that this person consumes is between 56.6 mL and 57.7 ml. d. For the group of 48 pancake eaters, find the probability that the average amount of syrup is between 56.6 mL and 57.7 ml. e. For part d), is the assumption that the distribution is normal necessary? O No@ Yes Hint: Some Helpful Videos