0 Question 2 v 0 Question 3 V The amount of syrup that people put on their pancakes is normally distributed with mean 57 mL and standard deviation 11 mL Suppose that 10 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( , i c. If a single randomly selected individual is observed, find the probability that this person consumes is between 57 mL and 59.6 mL. d. For the group of 10 pancake eaters, find the probability that the average amount of syrup is between 57 mL and 59.6 mL. e. For part d), is the assumption that the distribution is normal necessary? 0 YesO No Submit Que ' Previous Next > 0 Question 6 v 0 Question 7 v B 0/1 pt '0 2 G) Details Acompany produces steel rods. The lengths of the steel rods are normally distributed with a mean of 222.6-cm and a standard deviation of 1.1-cm. For shipment, 39 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X ~ N( , ) b. What is the distribution of i? :7: ~ N( , ) c For a single randomly selected steel rod, find the probability that the length is between ZZZ.3-cm and 222.5-cm. d. For a bundled of 39 rods, find the probability that the average length is between 222.3-cm and 222.5-cm. e. For part d), is the assumption of normal necessary? O NoO Yes s Previous Next > 0 Question 8 v 0 Question 9 v IZ 0/1 pt '0 2 (D Details The average price of a college math textbook is $166 and the standard deviation is $24. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of i? i - N( I ) b. For the group of 10, find the probability that the average price is between $163 and $174. c. Find the third quartile for the average textbook price for this sample size. S nearest cent) d. For part b), is the assumption that the distribution is normal necessary? 0 N00 Yes (round to the Submit Question ' Previous Next &gt