2. The sum of the mathematics and verbal scores on the Scholastic Aptitude Test (SAT) is called the Total
SAT score. In a particular year the Total SAT scores follow a normal distribution with a mean of 1000 and a
standard deviation of 180.
a. What is the probability a randomly selected student will have a Total SAT score below 1200?
b. What proportion of students score between 1100 and 1400 points on the SAT?
c. One particular university will not admit any student scoring in the lowest 8% of scores. What Total SAT
score needs to be achieved for consideration by this university?