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The College Board National Office recently reported that in 2011–2012, the 547,038 high school juniors who...

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Basic Math

The College Board National Office recently reported that in2011–2012, the 547,038 high school juniors who took the ACTachieved a mean score of 515 with a standard deviation of 129 onthe mathematics portion of the test(http://media.collegeboard.com/digitalServices/pdf/research/2013/TotalGroup-2013.pdf).Assume these test scores are normally distributed.

  1. What is the probability that a high school junior who takes thetest will score at least 590 on the mathematics portion of thetest? If required, round your answer to four decimal places.

    P (x ? 590) =
  2. What is the probability that a high school junior who takes thetest will score no higher than 510 on the mathematics portion ofthe test? If required, round your answer to four decimalplaces.

    P (x ? 510) =
  3. What is the probability that a high school junior who takes thetest will score between 510 and 590 on the mathematics portion ofthe test? If required, round your answer to four decimalplaces.

    P (510 ? x ? 590) =
  4. How high does a student have to score to be in the top 10% ofhigh school juniors on the mathematics portion of the test? Ifrequired, round your answer to the nearest whole number.

Answer & Explanation Solved by verified expert
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Given that the ACT achieved a mean score of 515 with    See Answer
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