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Let X be the score on a national test of randomly selected student from West High...

Let X be the score on a national test of randomly selected student from West High School and Y be the score on the same test of a randomly selected student from East High School. Suppose X has a normal distribution with mean 50 and variance 29. Y has a normal distribution with mean 47 and variance 35, and X and Y are independent. If a student from each high school is randomly selected, what is the probability that the student from West high school has a higher test score than the student from East high school?

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