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Conditional Expectation and Probability, Independence

Alexei

Joined
3/28/09
Messages
122
Points
28
b7aab876cd19b06c3731a8c64575bf62.png


Let's say the domain of Y is [1, 2].

Under what conditions, the right-hand side of equation above for Y=1 and Y=2 will be equal? Are there any specific probabilities for P(Y=1) and P(Y=2) that can make this happen? If yes, then why, otherwise, why not?
 
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