# Name of random variable that's +1 or -1 with equal probability?

Is there a name for this distribution: $$P(X = 1) = P(X = -1) = 0.5?$$

I'm currently writing $$2X-1$$ where $$X \sim \text{Ber}(0.5)$$.

• You can call it “uniform distribution on $\{-1, 1\}$”. Sep 27, 2021 at 11:44
• You can also refer to it as the sign of $x$, as in $\frac{x}{|x|} ~: ~a~$ is any positive constant, and $~-a \leq x \leq a, ~x\neq 0.$ Sep 27, 2021 at 11:52