The Centers for Disease Control report that the total cholesterol levels for women, age 20-29, are normally distributed with a mean of 183 milligrams per deciliter and a standard deviation of 37.2...

The Centers for Disease Control report that the total cholesterol levels for women, age 20-29, are normally distributed with a mean of 183 milligrams per deciliter and a standard deviation of 37.2 milligrams per deciliter.  If 30 women (age 20-29) were randomly selected what is the probability that the mean total cholesterol level of these 30 women will be less than 200 milligrams per deciliter?