Estimating expected value based on probability distribution

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Estimating expected value based on probability distribution

1. Suppose that a college student is taking three courses: a two-credit course, a three-credit course, and a four-credit course. The expected grade in the three- and four-credit courses is 3.0. What is the expected overall grade point average for the semester? (Remember that each course grade is weighted by its share of the total number of units.)

2. 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.

a) Find the expected GPA when SAT = 800. Find E (GPA|SAT = 1,400). Comment on the difference.

b) If the average SAT in the university is 1,100, what is the average GPA?

c) If a student's SAT score is 1,100, does this mean he or she will have the GPA found in part (ii)? Explain.

Reference no: EM1312068

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