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This talk considers the statistical properties of the traveling wave fronts of the scalar Fitzhugh-Nagumo equation with random perturbations by two-parameter white noise on the whole real line,where the traveling wave front connects two stable equilibria.As well as the method of Green's function,we get the asymptotic fluctuations behavior of two stable states which are two boundaries of the traveling wave front to the Nagumo equation by the fundamental solution.