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Suppose the support of a distribution is $\{12 , 13 \}$ with $P(X = 12) = p$ and $P(X = 13) = 1-p$. Is this still a Bernoulli distribution even if the support is not $\{1, 0 \}$?

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    As Bernoulli distribution is most often defined, no. Because it is such a close relative, results about Bernoulli distributions can be readily adapted to this one.2012-04-17

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