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Toward that end, for
\(0 \lt p \lt 1\)
consider a sequence of Bernoulli trials
\(Y_1, Y_2, ..., Y_n\)
with each over the space {0,1}. Then,
\begin{equation*} X = \sum_{k=1}^n Y_k \end{equation*}
is a Binomial variable.
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