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In: Statistics and Probability

The Scholastic Aptitude Test (SAT), a college entrance examination, has three components: critical reading, mathematics, and...

The Scholastic Aptitude Test (SAT), a college entrance examination, has three components: critical reading, mathematics, and writing. The scores on each component are approximately normally distributed with a mean of 500 and standard deviation of 100.

1) If an examinee scored a 650, determine the percent of examines that scored lower than that examinee

2) Determine the range in scores of 95% of the examinees

3) To be placed in the top 10%, determine the minimum score an examinee must receive in each component

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