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Suppose that the national average for the math portion of the College Board's SAT is 513....

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Basic Math

Suppose that the national average for the math portion of theCollege Board's SAT is 513. The College Board periodically rescalesthe test scores such that the standard deviation is approximately75. Answer the following questions using a bell-shaped distributionand the empirical rule for the math test scores.

If required, round your answers to two decimal places.

(a) What percentage of students have an SAT math score greaterthan 588?

___ %

(b) What percentage of students have an SAT math score greaterthan 663?

___ %

(c) What percentage of students have an SAT math score between438 and 513?

___ %

(d) What is the z-score for a student with an SAT math score of620?

____

(e) What is the z-score for a student with an SAT math score of405?

____

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