  We calculate an exact expression for the probability propagator for a noisy
electric field driven tight-binding lattice. The noise considered is a
two-level jump process or a telegraph process (TP) which jumps randomly between
two values $\pm\mu$. In the absence of a static field and in the limit of zero
jump rate of the noisy field we find that the dynamics yield Bloch oscillations
with frequency $\mu$, while with an additional static field $\epsilon$ we find
oscillatory motion with a superposition of frequencies $(\epsilon \pm \mu)$. On
the other hand, when the jump rate is `rapid', and in the absence of a static
field, the stochastic field averages to zero if the two states of the TP are
equally probable `a-priori'. In that case, we see a delocalization effect. The
intimate relationship between the rapid relaxation case and the zero field case
is a manifestation of what we call the `Muhammad Ali effect'. It is interesting
to note that even for zero static field and rapid relaxation, Bloch
oscillations ensue if there is a bias $\delta p$ in the probabilities of the
two levels. Remarkably, the Wannier-Stark localization caused by an additional
static field is destroyed if the latter is tuned to be exactly equal and
opposite to the average stochastic field $\mu\delta p$. This is an example of
\emph{incoherent} destruction of Wannier-Stark localization.
