The percent of fat calories that a person consumes each day is normally distributed with a mean of 37 and a standard deviation of 10. Suppose that 16 individuals are randomly chosen. Let X = average...

X = average

(a) For the group of 16 individuals, find the probability that the average percent of fat calories consumed is more than forty. (Round your answer to four decimal places.)




b) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.)