Before revision:  in the probability distributions of noise, we find that the fluctuations in the synthesis reaction rate lead to peculiar transitions to high concentrations and thus to possible transcriptions, such as realizing higher likelihood of transcription for larger positive skewness (i.e., asymmetry)
After revision:  in the probability distributions of noise, we find that via examining the mean first exit time (MFET) and the first escape probability (FEP), the asymmetric fluctuations, interacting with nonlinearity in the system, lead to peculiar transitions to high concentrations and thus to possible transcriptions, such as realizing higher likelihood of transcription for larger positive skewness (i.e., asymmetry)