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The national average for the verbal portion of the College Board's Scholastic Aptitude Test (SAT) is 507. The College Board periodically rescales the test scores such that the standard deviation is approximately 100.
Answer the following questions using a bell-shaped distribution and the empirical rule for the verbal test scores.
(a) What percentage of students have an SAT verbal score greater than 607?
(b) What percentage of students have an SAT verbal score greater than 707?
(c) What percentage of students have an SAT verbal score between 407 and 507?
(d) What percentage of students have an SAT verbal score between 307 and 607?
(e) Compare and contrast the Empirical Rule and the Chebyshev's theorem.
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