The Distribution of SAT scores in math for an incoming class of business students has a mean of 610 and standard deviation of 20. Assume that the scores are normally distributed.

A. Find the probability that an individual's SAT score is less than 600.

B. Find the probability that an individuals SAT score is between 590 and 620

C. Find the probability that an individuals 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.

Problen) 38, P.216 LOCATE SOLUTIONS IN BLUE CELLS BELOW Assume Blade Weights are normally distributed MEAN 610.0 ST DEV 20.0 Probability Determination Using the =NORM. DIST() function Part a P(X=650) Hint: Use 'true' Part d Minimum score of top 5% Part e Z score Explanation Example Z score for 540 -3.5 The SAT score of 540 is 3.5 standard deviations below the mean of 610. Z score for 600 Z score for 650 Z score for 700