$\displaystyle S_X=\left\{0,1,\cdots,n\right\}$
$\displaystyle p_k=\binom{n}{k}p^k(1-p)^{n-k}$
$\displaystyle V[X]=np(1-p)$
$\displaystyle p_k=\binom{n}{k}p^k(1-p)^{n-k}$
$\displaystyle k=0,1,\cdots,n$
$\displaystyle E[X]=np$$\displaystyle V[X]=np(1-p)$
Source: Leon-Garcia Table 3.1
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