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Scores on the National Assessment of Educational Progress 12th-grade mathematics test for the year 2012 were approximately normal with a mean of 300 points (out

Scores on the National Assessment of Educational Progress 12th-grade mathematics test for the year 2012 were approximately normal with a mean of 300 points (out of a total of 500) and standard deviation 35 points. If X is the score for a randomly chosen student, what is the probability that (a) X exceeds 400? (b) X is less than 280?

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