The present paper investigates the random temperature response of a coated medium subjected to a fast moving asperity, taking into consideration the randomness of coating thickness. While the coating thickness is uniform for individual specimens, there is a small random variation from one specimen to another in a statistical space. Stochastic responses in coated solid media are investigated by the perturbation method, and the results are presented in terms of the mean value and the standard deviation of the temperature field. The numerical example considers a typical stochastic process. It is noted that even for very small thickness variation, for instances, the coefficient of the variation of coating thickness is 0.1 percent, the temperature at the interface for a thin coating can vary by a coefficient of variation of 18 percent.

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