Question: Suppose we roll two dice, a red and a green one, and let X be the value on the red die and Y the value

Suppose we roll two dice, a red and a green one, and let X be the value on the red die and Y the value on the green die. Let Z =X/Y.

1. FindE[(X+2Y)2 |X].

2. FindE[(X+2Y)2 |X,Z].

3. Let W = E[Z | X]. What are the possible values for W? Give the distribution of W.

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