Sat scores (out of 2400) are distributed normally with a mean of 1500 and a standard deviation of 300. suppose a school council awards a certificate of excellence to all students who score at least 1700 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 2000? (the material covered in section 2.2 would be useful for this question. round your answer to two decimal places.)