7 A professor has noticed that grades on each of two quizzes

7. A professor has noticed that grades on each of two quizzes have a bivariate normal distribution with the following parameters: µX =75 X²= 25 µY = 83 Y² = 16 Cov(X,Y) = 16 a) If a student receives a grade of 80 on the first quiz (X), what is the probability that she will do better on the second one (Y)? b) If a student receives a grade of 70 on the first quiz (X), what is the probability that she will do worse on the second one (Y)?

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