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Suppose that the test score of a student taking the final of a probability course is a random variable with mean 85. (a) Give

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Suppose that the test score of a student taking the final of a probability course is a random variable with mean 85. (a) Give an upper bound for the probability that a student's test score will exceed 95. P{score >95} < (b) Suppose that we know, in addition, that the variance of students' test scores on the final is 30. What can you say about the probability that a student will score between 75 and 95 (do not use the central limit theorem)? P{75 score

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