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Q2Section I (Objective (Q1–Q80))2 of 80

Probability — conditional expectation from a discrete joint distribution

Two random variables XX and YY have a discrete joint distribution given by

P(X=x,Y=y)={c∣x+y∣,x,y∈{−2,−1,0,1,2} 0,otherwiseP(X=x,Y=y)=\begin{cases}c|x+y|, & x,y\in\{-2,-1,0,1,2\}\ 0, & \text{otherwise}\end{cases}

What is E(Y∣X=1)E(Y\mid X=1) equal to?

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