Chosen at random from a certain population


Suppose that two dierent 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: the mean score on test B is 90, and the standard deviation is 16: the scores on the two tests have a bivariate normal distribution and the correlation of the two scores is 0.8. If the students score on test A is 80, what is the probability that her score on test B will be higher than 90?

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Basic Statistics: Chosen at random from a certain population
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