Question 14 < > 0/3 pts 100 99 Details The amount of syrup that people put on their pancakes is normally distributed with mean 61 mL and standard deviation 7 mL. Suppose that 16 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 x? x N( 7 c. If a single randomly selected individual is observed, find the probability that the amount of syrup this person consumes is between 59.8 mL and 62.2 mL. d. For the group of 16 pancake eaters, find the probability that the average amount of syrup is between 59.8 mL and 62.2 mL. e. For part d), is the assumption that the distribution is normal necessary? Yes No. Question 15 < 0/3 pts 100 99 Details The average amount of money spent for lunch per person in the college cafeteria is $7.24 and the standard deviation is $2.03. Suppose that 43 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N ~ NO b. What is the distribution of x? x N ~ N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.5756 and $7.8704. d. For the group of 43 patrons, find the probability that the average lunch cost is between $7.5756 and $7.8704. e. For part d), is the assumption that the distribution is normal necessary? Yes No