Rom past experience, a professor knows that the test score of a student taking her final examination is a random variable with mean 75. give an upper bound for the probability that a student’s test score will exceed 85. suppose, in addition, that the professor knows that the variance of a student’s test score is equal to 25. what can be said about the probability that a student will score between 65 and 85? how many students would have to take the examination to ensure with probability at least .9 that the class average would be within 5 of 75? do not use the central limit theorem.