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For a given population of high school seniors, the Scholastic Aptitude Test (SAT) in mathematics has a mean score of 520 with a standard deviation of 120. Another widely used test is American College Testing (ACT) exam. The mathematics portion of the ACT has a mean of 19 and a standard deviation of 7. Both SAT and ACT scores are normally distributed. What is the probability that a randomly selected high school senior's score on the mathematics part of the SAT will be
(a) more than 630?
(b) less than 425?
(c) between 425 and 630?

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Statistics and Probability, Statistics

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