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Assume that you have the following probabilities for your final grade in your econometrics course, with...

Assume that you have the following probabilities for your final grade in your econometrics course, with the standard GPA scale of A=4, B=3, C=2, D=1, F=0 applies (ignoring +/- for simplicity). Letting Y be your grade, P(Y=4)=0.2, P(Y=3)=0.5, and P(Y<3)=1-0.2-0.5=0.3. The expected value E(Y)=

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Answer #1

We know,

Corresponding to probability P(Y<3) we need Y value in calculation of expected value. In this range of Y i.e. for representative value of Y is (0+1+2)/3 = 1

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