  We investigate the stability of statistically stationary conductive states
for Rayleigh-B\'enard convection that arise due to a bulk stochastic internal
heating. Our results indicate that stochastic forcing at small magnitude has
little to no effect, while strong stochastic forcing has a destabilizing
effect. The methodology put forth in this article, which combines rigorous
analysis with careful computation, provides an approach to hydrodynamic
stability which is applicable to a variety of systems subject to a large scale
stochastic forcing.
