3.16 SAT scores: SAT scores (out of 2400) are distributed normally with a mean of 1520 and a standard deviation of 315. Suppose a school council awards a certificate of excellence to all students who...

Extracted text: 3.16 SAT scores: SAT scores (out of 2400) are distributed normally with a mean of 1520 and a standard deviation of 315. Suppose a school council awards a certificate of excellence to all students who score at least 1900 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 2100? Round your answer to 3 decimal places. (The material covered in Section 3.2 will be useful for this question.)