Suppose that the national average for the math portion of the College Board’s SAT is 530. The College Board periodically

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Suppose that the national average for the math portion of the
College Board’s SAT is 530. The College Board periodically rescales
the test scores such that the standard deviation is approximately
120. Answer the following questions using a bell-shaped
distribution and the empirical rule for the math test scores.
(Answer this question without using Excel)
a. What percentage of students have an SAT math score greater
than 410?
b. What percentage of students have an SAT math score greater
than 770?
c. What percentage of students have an SAT math score between
650 and 770?
d. What is the z-score for a student with an SAT math score of
310?
e. What is the z-score for a student with an SAT math score of
810?
*WITHOUT USING EXCEL*