Formulation and solution of the Vector Radiative Transfer(SVRT) equation in a finite slab of stochastic precipitation medium composed of two different rain rates were considered. Computer simulation was given to verify the obtained results via Monte Carlo method, to feature the distinctiveness of the stochastic precipitation medium, and to illustrate the influences of the stochastic parameters imposing on the final results. The relationship between an average-rain rate precipitation layer and a stochastic precipitation medium was also discussed.