Question: Let X and Y be the same as in Example 5.4. a. Find E[X|Y = 1|. b. Find E[X|1 c. Find E[|X||1 Example 5.4: Consider

Let X and Y be the same as in Example 5.4.

a. Find E[X|Y = 1|.

b. Find E[X|−1

c. Find E[|X||−1


Example 5.4:

Consider the set of points in the grid shown in Figure 5.4. These are the points in set G defined as= {(x,y)|x, y Z, x + y 2}.

Suppose that we pick a point (X,Y ) from this grid completely at random. Thus, each point has a probability of 1/13 of being chosen.

(-1,1) (0,1) (1,1) (-2,0) (-1,0) (0, 2) (-1,-1) (0,0) (1,0) (0,-1) (1,-1) (0,-2) Figure 5.4: Grid for example

= {(x,y)|x, y Z, x + y 2}.

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