For students who graduated from high school in 2013, their SAT math scores were approximately normally distributed with a mean of 514 points and a standard deviation of 118 points (Source: College Board).
a. If a student is randomly selected from those who graduated from high school in 2013 and took the SAT, what is the probability that the student scored between 500 and 600 points on the math sections? b. If a student is randomly selected from those who graduated from high school in 2013 and took the SAT, what is the probability that the student scored less than 350 points on the math sections?
c. If a student is randomly selected from those who graduated from high school in 2013 and took the SAT, what is the probability that the student scored more than 450 points on the math sections?