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I need the right answer The College Board National Office recently reported that in 2011-2012, the 547,038 high school suniors whe took the ACT achieved

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The College Board National Office recently reported that in 2011-2012, the 547,038 high school suniors whe took the ACT achieved a mean score of 560 with a standard deviation of 130 on the mathematics portion of the test (http://media.collegeboard.com/digitalServices/pdf/research/2013/Total Group-2013.pdf). Assume these test scores are normally distributed what is the probability that high school junior who takes the test will score at east 600 on the mathematics portion of the test? If required, round your answer to four decimal places. P (x 2 600)- b. What Is the probabllity that a high school junlor who takes the test will score no higher than 420 on the mathematics portion of the test? If required, round your answer to four declmal places p (x S 420) = c. what is the probability that a high school junior who takes the test will score between 420 and 550 on the mathematics portion of the test? If required, round your answer to four decimal places. P (420 550)- d. How high does a student have to score to be in the top 10% of high school juniors on the mathematics portion of the test? If required, round your answer to the nearest whole number

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