This paper presents an analytical study of structure-borne noise transmission of finite, double-wall-laminated, fiber-reinforced cylindrical enclosures due to stochastic excitations. The stochastic excitations are either uniform random pressures or random point loads with specified spectral densities. The theoretical solutions of the governing acoustic-structural equations are obtained via modal decomposition and a Galerkin-like approach. Numerical results indicative of the effects of acoustic and structural variations are offered.