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The World Almanac and Book of Facts reported for a recent year that the average Verbal SAT (Scholastic Aptitude Test) score that year was 423

The World Almanac and Book of Facts reported for a recent year that the average Verbal SAT (Scholastic Aptitude Test) score that year was 423 points. It also reported that 7% of those taking the test had scores of 600 or more, and 42% had scores of 400 or less. a) Suppose that the standard deviation of the SAT scores is 120. Are the reported percentages consistent with what you would expect if SAT scores follow a normal distribution? b) If the normal curve assumption in a) is true, how likely is it that a random selection of one person who wrote the SAT that year would have a score of 650 or more?

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