Suppose that at a large university, college grade point average, GPA, and SAT score, SAT, are related by the conditional expectation E(GPA|SAT) = .70 + .002 SAT. (i) Find the expected GPA when SAT = 800. Find E(GPA|SAT = 1,400). Comment on the difference. |(ii) If the average SAT in the university is 1,100, what is the average GPA? (Hint: Use Property CE.4.) (iii) If a student's SAT score is 1,100, does this mean he or she will have the GPA found in part (ii)? Explain.

Suppose that at a large university, college grade point average, GPA, and SAT score, SAT, are related by the conditional expectation E(GPA|SAT) = .70 + .002 SAT. (i) Find the expected GPA when SAT = 800. Find E(GPA|SAT = 1,400). Comment on the difference. |(ii) If the average SAT in the university is 1,100, what is the average GPA? (Hint: Use Property CE.4.) (iii) If a student's SAT score is 1,100, does this mean he or she will have the GPA found in part (ii)? Explain.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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