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Assume that X is a discrete random variable, I understand that the domain of X is the set of values it can take and the support of X is the set of values it takes with non-zero probability. Can someone give me an example of where

1) $S \subset D$

2) $S = D$

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Let $X$ be the random variable that takes on the value 1 when you are right, and 0 when you are wrong. Then domain equals support, since sometimes you are right, and sometimes you are wrong.

Let $Y$ be the random variable that takes on the value 1 when I am right, and 0 when I am wrong. Then the support is strictly contained in the domain, since I am never wrong.

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    Oh. Super Smart Answer!2012-09-29