Question: Suppose that the random variables Y and X only take the values 0 and 1, and have the following joint probability distribution Find E[Y j

Suppose that the random variables Y and X only take the values 0 and 1, and have the following joint probability distributionX=0 X=1 Y = 0 .1 Y = 1 .4 23 .2Find E[Y j X] , E

£

Y 2 j X

¤

, and var[Y j X] for X Æ 0 and X Æ 1.

X=0 X=1 Y = 0 .1 Y = 1 .4 23 .2

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