Example 1: On a recent statewide math test, the raw score average was 56 points with a standard deviation of 18. If thescores were normally distributed and 24,000 students took the test, answer the following questions.(a) What percent of students scored below a 38 on the test?(b) How many students scored less than a 38?(c) What percent of the raw scores fell between 47 and 83?(d) How many scores fell between 47 and 83?