The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 37 and a standard deviation of 10. Suppose that one individual is randomly chosen....

The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 37 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X=percent of fat calories.


a.  What is the distribution of X? X ~ N(,)


b.  Find the probability that a randomly selected fat calorie percent is more than 36.  Round to 4 decimal places.


c.  Find the minimum number for the lower quartile of fat calories.  Round to 2 decimal places.