According to the College Board (professionals.collegeboard.com/gateway), the mean SAT mathematics score for all college-bound seniors was 511

Question:

According to the College Board (professionals.collegeboard.com/gateway), the mean SAT mathematics score for all college-bound seniors was 511 in 2011. Suppose that this is true for the current population of college-bound seniors. Furthermore, assume that 17% of college-bound seniors scored below 410 in this test. Assume that the of SAT mathematics scores for college-bound seniors is approximately normal.
a. Find the standard deviation of the mathematics SAT scores for college-bound seniors.
b. Find the percentage of college-bound seniors whose mathematics SAT scores were above 660.
Distribution
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