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

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 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

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Introduction To Probability Statistics And Random Processes

ISBN: 9780990637202

1st Edition

Authors: Hossein Pishro-Nik

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Question Posted: Nov 01, 2023 01:39 PM

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

Question:

= {(x,y)|x, y ≤ Z, x + y ≤ 2}.

Step by Step Answer:

a To find EXY 1 we have EXY1 xPxy...View the full answer

Introduction To Probability Statistics And Random Processes

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