The percent of fat calories that a person consumes each day is normally distributed with a mean of about 33 and a standard deviation of about ten. Suppose that 25 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.) (b) For the group of 25, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.) Graph the situation and shade in the area to be determined. X 10 15 20 25 30 35 10 15 20 25 30 35 10 15 20 25 30 35 X 10 15 20 25 30 35 (c) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) percent of fat calories