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[See] SAT Math Scores of Women The math SAT scores for women are normally distributed with a mean of 496 and a standard deviation of 108 . If a woman who

Question: SAT Math Scores of Women The math SAT scores for women are normally distributed with a mean of 496 and a standard deviation of 108 .

  1. If a woman who takes the math portion of the SAT is randomly selected, find the probability that her score is above 500.
  2. If five math S.AT scores are randomly selected from the population of women who take the test, find the probability that all five of the scores are above 500 .
  3. If five women who take the math portion of the SAT are randomly selected, find the probability that their mean is above 500.
  4. Find \(P_{90}\), the score separating the bottom \(90 \%\) from the top \(10 \%\).

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