Leona and Fred are friendly competitors in high school. Both are about to take the ACT college

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Leona and Fred are friendly competitors in high school. Both are about to take the ACT college entrance examination. They agree that if one of them scores 5 or more points better than the other, the loser will buy the winner a pizza. Suppose that, in fact, Fred and Leona have equal ability so that each score on a randomly selected test varies Normally with mean 24 and standard deviation 2. (The variation is due to luck in guessing and the accident of the specific questions being familiar to the student.) The two scores are independent. What is the probability that the scores differ by 5 or more points in either direction?

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The Practice Of Statistics

ISBN: 9781319113339

6th Edition

Authors: Daren S. Starnes, Josh Tabor

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