38. The distribution of SAT scores in math for an incom- ing class of business students has a mean of 610 and standard deviation of 20. Assume that the scores are normally distributed. I a. Find the probability that an individual's SAT score is less than 500. b. Find the probability that an individual's SAT score is between 590 and 620. c. Find the probability that an individual's SAT score is greater than 650. d. What scores will the top 5% of students have? e. Find the standardized values for students scoring 540, 600, 650, and 700 on the test. Explain what these mean.