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17. (12 pts) SAT math scores are normally distributed, with mean u = 500 and standard deviation o = 100. a. If a college-bound student that took the SAT is selected at random, find the probability that the student's SAT math score is over 545. (4) b. If twenty-five college-bound students that took the SAT are selected at random, find the probability that the average SAT math score for the selected students is over 545. (4) c. What is the score L on the SAT math exam such that there is a probability of only 0.01 that the mean score of twenty-five college-bound students falls above L