1. In a recent year, scores on a standardized test for highschool students with a 3.50 to 4.00 gpa were normally distributed, with a mean of 38.2 and a standard deviation of 1.8. A student with a 3.50 to 4.00 gpa who took the standardized test is randomly selected.
Find the probability that the student's test score is less than 36.
(Round to four decimal points.)
2. . The total cholesterol levels of a sample of men aged 35-44 are normally distributed with a mean of 201 milligrams per deciliter and a standard deviation of 38.8 milligrams per deciliter.
a) What percent of the men have a total cholesterol level less than 232 milligrams per deciliter of blood?
b) If 245 men in the 35-44 age group are randomly selected, about how many would you expect to have a total cholesterol level greater than 264 milligrams per deciliter of blood?
(Round to two decimal places.)