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The College Board National Office recently reported that in 20112012, the 547,038 high school juniors who took the ACT achieved a mean score of 495

The College Board National Office recently reported that in 20112012, the 547,038 high school juniors who took the ACT achieved a mean score of 495 with a standard deviation of 124 on the mathematics portion of the test Assume these test scores are normally distributed. 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

a. 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.

b. What is the probability that a high school junior who takes the test will score no higher than 505 on the mathematics portion of the test? If required, round your answer to four decimal places.

c. What is the probability that a high school junior who takes the test will score between 505 and 580 on the mathematics portion of the test? If required, round your answer to four decimal places.

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