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In this paper the concepts of wavelets has been applied to Probability distributions.The basic concept of generating functions by a wavelet function is for spectral analysis.The study focuses on two transforms considering continuous Analysis and discrctc Analysis.The Poisson distribution,Normal distribution,Gauss distribution and Hyper geometric distribution considering wavelet function has been studied.The integral transforms have been used for much application results in signal analysis and time analysis.The paper has bccn startcd from thc basic idcas of wavclcts and with thc Probability distributions thc rcsults wcrc obtained.