We study the current statistics in normal diffusive conductors in contact w
ith a superconductor. Using an extension of the Keldysh Green's function me
thod we are able to find the full distribution of charge transfers for all
temperatures and voltages. For the non-Gaussian regime, we show that the eq
uilibrium current fluctuations are enhanced by the presence of the supercon
ductor. We predict an enhancement of the nonequilibrium current noise for t
emperatures below and voltages of the order of the Thouless energy E-Th = D
/L-2. Our calculation fully accounts for the proximity effect in the normal
metal and agrees with experimental data.