  Fast Radio Bursts (FRBs) are highly energetic transient events with duration
of order of microseconds to milliseconds and of unknown origin. They are known
to lie at cosmological distances, through localisation to host galaxies.
Recently, an FRB-like event was seen from the Milky Way magnetar SGR 1935+2154
by the CHIME and STARE2 telescopes. This is the only magnetar that has produced
FRB events in our galaxy. Finding similar events in the Milky Way is of great
interest to understanding FRB progenitors. Such events will be strongly
affected by the turbulent interstellar medium in the Milky Way, their intrinsic
energy distribution and their spatial locations within the plane of the Milky
Way. We examine these effects using models for the distribution of electrons in
the ISM to estimate the dispersion measure and pulse scattering of mock events,
and a range of models for the spatial distribution and luminosity functions,
including models motivated by the spatial distribution of the Milky Way's
magnetars. We evaluate the fraction of FRB events in the Milky Way that are
detectable by STARE2 for a range of ISM models, spatial distributions and burst
luminosity functions. In all the models examined, only a fraction of burst
events are detectable, mainly due to the scattering effects of the ISM. We find
that GReX, a proposed all-sky experiment, could increase the detection rate of
Milky Way FRB events by an order of magnitude, depending on assumptions made
about the luminosity function and scale-height of the FRBs.
