Suppose (X, Y)' has three mass points (0, 0), (0, 2)' and (1, 1)', each with probability 1/3. Verify that, although X and Y are not independent, E[Y|X = xo] = E[Y], for every mass point To of X.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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Suppose (X, Y)' has three mass points (0, 0), (0, 2)' and (1, 1)', each with probability
1/3. Verify that, although X and Y are not independent, E[Y|X = xo] = E[Y], for every mass point
xo of X.
Transcribed Image Text:Suppose (X, Y)' has three mass points (0, 0), (0, 2)' and (1, 1)', each with probability 1/3. Verify that, although X and Y are not independent, E[Y|X = xo] = E[Y], for every mass point xo of X.
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