4.40 SAT scores. SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random. What is the probability this student's score will be at least 1500?

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4.40 SAT scores. SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard
deviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least
1350 on the SAT, and suppose we pick one of the recognized students at random. What is the probability
this student's score will be at least 1500?

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