The College Board National Office recently reported that in 2011–2012, the 547,038 high school juniors who took the ACT achieved a mean score of 540 with a standard deviation of 122 on the mathematics portion of the test   What is the probability that a high school junior who takes the test will score at least 600 on the mathematics portion of the test? If required, round your answer to four decimal places. P (x ≥ 600) =   What is the probability that a high school junior who takes the test will score no higher than 470 on the mathematics portion of the test? If required, round your answer to four decimal places. P (x ≤ 470) =   What is the probability that a high school junior who takes the test will score between 470 and 550 on the mathematics portion of the test? If required, round your answer to four decimal places. P (470 ≤ x ≤ 550)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The College Board National Office recently reported that in 2011–2012, the 547,038 high school juniors who took the ACT achieved a mean score of 540 with a standard deviation of 122 on the mathematics portion of the test  

  1. What is the probability that a high school junior who takes the test will score at least 600 on the mathematics portion of the test? If required, round your answer to four decimal places.

    P (x ≥ 600) =  

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

    P (x ≤ 470) =  

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

    P (470 ≤ x ≤ 550) =  

  4. 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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