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) =
