[en] Non-equilibrium physics of random events, or fluctuations, is a unique fingerprint of a given system. Here we demonstrate that in non-interacting systems with dynamics driven essentially by Majorana states the effective charge $e^{\ast <!--\; ???\; -->}$, characterizing the electric current fluctuations, is fractional. This is in contrast to non-interacting Dirac systems with the trivial electronic charge $e^{\ast <!--\; ???\; -->}=e$. In the Majorana state, however, we predict two different fractional effective charges at low and high energies, $e_{\mathrm{l}}^{\ast <!--\; ???\; -->}=e/2$ and $e_{\mathrm{h}}^{\ast <!--\; ???\; -->}=3e/2$, accessible at low and high bias voltages, respectively. We show that while the low-energy effective charge $e_{\mathrm{l}}^{\ast <!--\; ???\; -->}$ is sensitive to thermal fluctuations of the current, the high-energy effective charge $e_{\mathrm{h}}^{\ast <!--\; ???\; -->}$ is robust against thermal noise. A unique fluctuation signature of Majorana fermions is therefore encoded in the high-voltage tails of the electric current noise easily accessible in experiments on strongly non-equilibrium systems even at high temperatures. (paper)