  We report the results of a deep Chandra survey of the Sculptor dwarf
spheroidal galaxy. We find five X-ray sources with $L_X$ of at least
$6\times10^{33}$ ergs/sec with optical counterparts establishing them as
members of Sculptor. These X-ray luminosities indicate that these sources are
X-ray binaries, as no other known class of Galactic point sources can reach
0.5-8 keV luminosities this high. Finding these systems proves definitively
that such objects can exist in an old stellar population without stellar
collisions. Three of these objects have highly evolved optical counterparts
(giants or horizontal branch stars), as do three other sources whose X-ray
luminosities are in the range which includes both quiescent low mass X-ray
binaries and the brightest magnetic cataclysmic variables. We predict that
large area surveys of the Milky Way should also turn up large numbers of
quiescent X-ray binaries.
