6. From experience, a professor knows that the test scoreof students taking a final examination is a random variable with mean 65.   A.Give an upper bound on the probability that a student's test score will exceed 75. B. Suppose in addition the professor knows that the variance of a student's test score isequal to 30. What can be said about the probability that a student will score between55 and 75? C. How many students would have to take the examination so as to ensure,with probabilityat least 0.8, that the class average would be within 5 of 65?

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