I calculate the distribution of the product of complex factors drawn from a
bivariate Gaussian distribution. The interferometric visibility of a scint
illating point source follows this distribution. I find the distributions o
f the real part, the imaginary part, and the amplitude of the product. I in
vestigate effects of a small, partially resolved source on the distribution
. These effects depend on whether the source is elongated, and if so, on it
s orientation relative to the interferometer baseline. A single sample of i
nterferometric visibility, for any source, is also the product of complex f
actors drawn from a bivariate Gaussian distribution.