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The Graduate Record Examinations (GRES) are widely used to help predict the performance of applicants to graduate schools.
The scores on the GRE Chemistry test are approximately normal with mean 694 and standard deviation 112.
(a) About what percent of test takers earn a score less than 500 on the GRE Chemistry test?
(b) What proportion of test takers earn a score greater than or equal to 900 on this test?
(c) Estimate the score at the 99th percentile on the GRE Chemistry test.