The percent of fat calories that a person consumes each day is normally distributed with a mean of about 36 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. (a) Give the distribution of X. (Round your standard deviation to two decimal places.) X ~ BY (b) For the group of 9, find the probability that the average percent of fat calories consumed is more than seven. (Round your answer to four decimal places.) Graph the situation and shade in the area to be determined. none none 0.12 0.12 0.10 0.10 0.08 0.08 0.06 0.06 0.04 0.04 0.02 0.02 O 10 20 30 40 20 X 30 40 none 0.12 0.10 0.08 0.06 0.04 0.02 10 X O 20 30 40 X 20 30 40 (c) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) percent of fat calories