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The college board reports that the SAT math scores in 2013 had a normal distribution for male students with N(521, 121) and for female students

The college board reports that the SAT math scores in 2013 had a normal distribution for male students with N(521, 121) and for female students with N(499, 114). Assuming that the scores for any pair of male and female students are independent, what is the chance that in a random pair of students (one boy and one girl), the female student has a higher SAT math core than the male student?

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