The distribution of the SAT scores in math for an incoming class of business students has mean of 580 and standard deviation of 25. Assume that the scores are normally distributed.
a. Find the probability that an individual's SAT score is less than 550.
b. Between 560 and 600
c. Greater than 620.
d. What percentage of students will have scored better than 700?
e. Find the standardized values for students scoring 500, 600, and 700 on the test.