Scores for a common standardized college aptitude test are normally distributed with a mean of 480 and a standard deviation of 106. Randomly selected students are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. If 1 student is randomly selected, find the probability that their score is at least 512.8. P(X > 512.8) = [ ] Enter your answer as a number accurate to 4 decimal places. If 15 students are randomly selected, find the probability that their mean score is at least 512.8. P(

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