In a recent year, scores on a standardized test for high school students with a 3.50 to 4.00 grade point average were normally distributed, with a mean of 38.7 and a standard deviation of 1.6.
(a.) Find the probability that the student's test score is less than 35
(b.) Find the probability that the student's test score is between 35.6 and 41.8
(c.) Find the probability if a students test score is more than 40.3