Suppose that the test score of a student taking the final of a probability course is a random variable with mean 68.9.  (a) Give an upper bound for the probability (in three decimal places) that the student's test score will exceed 95.  Suppose that we know, in addition, that the standard deviation of the student's test score on the final is 6.9.  (b) What is a lower bound of the probability (in three decimal places) that the student will score between 58.9 and 78.9 ?

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