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What is the probability that his score on test a

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Consider again the two tests A and B described in Exercise 1. If a student is chosen at random, what is the probability that his score on test A will be higher than his score on test B?

Exercise 1

Suppose that two different tests A and B are to be given to a student chosen at random from a certain population. Suppose also that the mean score on test A is 85 and the standard deviation is 10; that the mean score on test B is 90 and the standard deviation is 16; that the scores on the two tests have a bivariate normal distribution; and that the correlation of the two scores is 0.8. If the student' s score on test A is 80, what is the probability that his score on test B will be higher than 90?

Reference no: EM131830596

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