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Problem 3-25 (Algorithmic) The College Board National Office recently reported that in 2011–2012, the 547,038 high...

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Problem 3-25 (Algorithmic) The College Board National Officerecently reported that in 2011–2012, the 547,038 high schooljuniors who took the ACT achieved a mean score of 540 with astandard deviation of 122 on the mathematics portion of the test(http://media.collegeboard.com/digitalServices/pdf/research/2013/TotalGroup-2013.pdf).Assume these test scores are normally distributed.

What is the probability that a high school junior who takes thetest will score no higher than 470 on the mathematics portion ofthe test? If required, round your answer to four decimalplaces.

P (x ≤ 470) =

What is the probability that a high school junior who takes thetest will score between 470 and 550 on the mathematics portion ofthe test? If required, round your answer to four decimalplaces.

P (470 ≤ x ≤ 550) =

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