The scores on the SAT verbal test in recent years follow approximately the normal distribution distribution. Students get a mean score of 536 with a standard deviation of 115. Use technology to answer these questions.
a. What is the proportion of students scoring under 400 (4 decimal positions)?
b. What is the proportion of students scoring between 400 and 550? (4 decimal positions)
C. What is the proportion of students scoring over 550? (4 decimal positions)
d. How high must a student score to place in the top 10% of all students taking the SAT? State answer as a
whole number