  We predict the redshift distribution of Gamma-Ray Bursts (GRBs) assuming that
they trace the cosmic star formation history. We find that a fraction >~50% of
all GRBs on the sky originate at a redshift z >~5, even though the fraction of
the total stellar mass formed by z~5 is only ~15%. These two fractions are
significantly different because they involve different cosmological factors
when integrating the star formation rate over redshift. Hence, deep
observations of transient events, such as GRB afterglows or supernovae, provide
an ideal strategy for probing the high-redshift universe. We also show that the
intrinsic distribution of GRB durations is bimodal but significantly narrower
and shifted towards shorter durations than the observed distribution.
