  In this paper, we investigate the transport properties of spinful electrons
tunnel-coupled to a finite-length Majorana nanowire on one end which is further
tunnel-coupled to a quantum dot (QD) at the other end. Using a full counting
statistics approach, we show that Andreev reflection can happen in two separate
channels that can be associated with the two spin states of the tunneling
electrons. In a low-energy model for the nanowire that is represented by two
overlapping Majorana bound states (MBSs) localized at the ends of the wire,
analytical formulas for conductance and noise reveal their crucial dependence
on the spin-canting angle difference of the two MBSs in the absence of the QD
if the spinful lead couples to both MBSs. We further investigate the influence
of a finite temperature on the observation of the coupling to both MBSs. In the
presence of the QD, the interference of different tunneling paths gives rise to
Fano resonances and the symmetry of those provide decisive information about
the coupling to both MBSs. We contrast the low-energy model with a
tight-binding model of the Majorana nanowire and treat the Coulomb interaction
on the QD with a self-consistent mean field approach. Using the scattering
matrix approach, we thereby extend the transport results obtained in the
low-energy model including also higher excited states in the nanowire.
