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Unformatted text preview: Y (Exam 2) follow a bivariate normal distribution with μ 1 = 70, σ 1 = 10, μ 2 = 60, σ 2 = 15, ρ = 0.6. a) A students is selected at random. What is the probability that his/her score on Exam 2 is over 75? b) Suppose you're told that a student got a 80 on Exam 1. What is the probability that his/her score on Exam 2 is over 75? c) Suppose you're told that a student got a 66 on Exam 1. What is the probability that his/her score on Exam 2 is over 75? d) Suppose you're told that a student got a 70 on Exam 2. What is the probability that his/her score on Exam 1 is over 80? e) A students is selected at random. What is the probability that the sum of his/her Exam 1 and Exam 2 scores is over 150? f) What proportion of students did better on Exam 1 than on Exam 2?...
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 Summer '08
 AlexeiStepanov
 Normal Distribution, ρ, Multivariate normal distribution, his/her score

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