The following is a movie of the probability density function for the MSI model as the standard deviation of the noise is increased. This picture was calculated as the dominant eigenvector of the associated Galerkin matrix. The essential feature is that when the standard deviation is zero, the two main density spikes are at the dynamic centers of each respective basin. Initially, as the standard deviation increases, the density becomes less diffusely distributed around the stable fixed points, due to the predominantly small stochastic diffusion added to the deterministic dynamics. There persist two stable fixed points and two distinct basins. As we continue to increase the standard deviation, a crossover effect occurs near 0.02, after which the density mass becomes mixed throughout a larger region, and predominantly mixed between the originally separate basins.