Visible solar radiation transfer in inhomogeneous stratus clouds is considered. We propose a model of stratus clouds which allows us to treat fluctuations of both the extinction coefficient (liquid water content) and the upper cloud boundary height. Influence of stochastic geometry of the upper boundary and the inhomogeneous internal cloud structure on one-dimensional probability density, mean value, variance, and energy spectrum of albedo, transmittance, and their sum is discussed. It is shown that the effects associated with interacting radiative fields within spatial pixels result in violation of an one-to-one correspondence between the optical and radiative characteristics of individual pixel. These effects, resulting in certain specific features in the formation of albedo and transmittance statistics, should be accounted for when developing radiation codes of General Circulation Models and when interpreting the data of field measurements in real clouds.