Question
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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