Uncertainty analysis of corrugated skins has been performed for random perturbations in geometric and elastic parameters of a chosen baseline model. The corrugated skins are particularly suitable for morphing applications in aerospace structures and their sensitivity to the various input uncertainties is a major concern in their design. The various sources of uncertainty include random perturbations of the geometrical parameters of the corrugation units, surface roughness and parametric uncertainty of the elastic parameters.These uncertainties are described here within the probabilistic framework and have been incorporated into the discretized stochastic finite element model used for their analysis. The propagation of these uncertainties to the dynamic response of the structure is a computationally intensive exercise especially for high dimensional stochastic models. Such high dimensional models have been resolved with statistical methods such as Gaussian Process Emulation and polynomial interpolation based sparse grid collocation techniques. The brute force Monte Carlo simulation technique results have been used as benchmark solutions. A global sensitivity analysis has been performed to identify the key uncertainty sources which affect the system response and the equivalent models using Sobol's importance measure.