Question: Suppose that two different tests are given to applicants by a government agency. The mean score on test A is 85, and the standard deviation

Suppose that two different tests are given to applicants by a government agency. The mean score on test A is 85, and the standard deviation is 10; the mean score on test B is 80, and the standard deviation is 12. Scores on the two tests follow a bivariate normal distribution with correlation 0.7. a) What percentage of applicants score higher on test B than on test A? b) Of applicants who score 80 on test A, what percentage score higher than 80 on test B?

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