Parameters Probability mass function Cumulative distribution function ${\displaystyle k=\{-1,1\}\,}$ ${\displaystyle {\begin{matrix}1/2&{\mbox{for }}k=-1\\1/2&{\mbox{for }}k=1\end{matrix}}}$ ${\displaystyle {\begin{matrix}0&{\mbox{for }}k<-1\\1/2&{\mbox{for }}-11\end{matrix}}}$ ${\displaystyle 0\,}$ ${\displaystyle 0\,}$ N/A ${\displaystyle 1\,}$ ${\displaystyle 0\,}$ ${\displaystyle -2\,}$ ${\displaystyle \ln(2)\,}$ ${\displaystyle \cosh(t)\,}$ ${\displaystyle \cos(t)\,}$
${\displaystyle f(k)=\left\{{\begin{matrix}1/2&{\mbox{if }}k=-1,\\1/2&{\mbox{if }}k=+1,\\0&{\mbox{otherwise.}}\end{matrix}}\right.}$
• Bernoulli distribution: If X has a Rademacher distribution then ${\displaystyle {\frac {X+1}{2}}}$ has a Bernoulli(1/2) distribution.