Bivariate normal distribution problem

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Reference no: EM1387870

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; 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.

a) If the student scores an 80 on test A, what is the probability that her score on test B will be higher than 90?

b) If a student is chosen at random what is the probability that the sum of her two scores from both tests will be greater than 200?

Reference no: EM1387870

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