  We consider a quantum wire, containing two Majorana bound states (MBS) at its
ends that are coupled to a current lead on one side and to a quantum dot (QD)
on the other side. Using the method of full counting statistics we calculate
the conductance and the zero-frequency noise. Using an effective low-energy
model, we analyze in detail the Andreev reflection probability as a function of
the various system parameters and show that it exhibits a Fano resonance (FR)
line shape in the case of a weakly coupled QD as a function of the QD energy
level when the two MBS overlap. The asymmetry parameter changes sign as the
bias voltage is tuned through the MBS overlap energy. The FR is mirrored as a
function of the QD level energy as long as tunneling to the more distant MBS is
negligible. However, if both MBS are coupled to the lead and the QD, the height
as well as the asymmetry of the line shapes cease to respect this symmetry.
These two exclusive cases uniquely distinguish the coupling to a MBS from the
coupling to a fermionic bound state that is shared between the two MBS. We
complement the analysis by employing a discretized one-dimensional p-wave
superconductor (Kitaev chain) for the quantum wire and show that the features
of the effective low-energy model are robust towards a more complete
Hamiltonian and also persist at finite temperature.
