  We study the distribution function, P(rho), of the effective resistance, rho,
in two and three-dimensional random resistor network of linear size L in the
hopping percolation model. In this model each bond has a conductivity taken
from an exponential form \sigma ~ exp(-kappa r), where kappa is a measure of
disorder, and r is a random number, 0< r < 1. We find that in both the usual
strong disorder regime L/kappa^{nu} > 1 (not sensitive to removal of any single
bond) and the extreme disorder regime L/kappa^{nu} < 1 (very sensitive to such
a removal) the distribution depends only on L/kappa^{nu} and can be well
approximated by a log-normal function with dispersion b kappa^nu/L, where b is
a coefficient which depends on the type of the lattice
