- #1
Samwise_geegee
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Homework Statement
Let x and y be discrete random variables with joint probability density function
P(X,Y)= 2X-Y+1/9 for x=1,2 and y=1,2
0 Otherwise
Calculate E[X/Y]
Homework Equations
E[XY]= ∫∫XYP(X,Y)dxdy
The Attempt at a Solution
I can't find a property of Expected value to make E[X/Y] solvable. This is my best guess.
E[X/Y]= ∫∫X*1/YP(X,1/Y)dxdy
E[X/Y]=∫∫X*1/Y*(2X-1/Y+1/9)dxdy from 1 to 2 on the first integral and 1 to 2 on the second integral