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

Suppose that the random variables Y and X only take the values 0 and 1, and have the following joint probability distribution X Æ 0 X Æ 1 Y Æ 0 .1 .2 Y Æ 1 .4 .3 Find E[Y j X] , E

Y 2 j X

, and var[Y j X] for X Æ 0 and X Æ 1.

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