(Solved): 3.16 SAT scores: SAT scores (out of 2400) are distributed normally with a mean of 1490 and a standar ...

3.16 SAT scores: SAT scores (out of 2400) are distributed normally with a mean of 1490 and a standard deviation of 285. 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 students score will be at least 2100 (The material covered in Section 2.2 would be useful for this question.) (Keep 1 decimal place.)