In this article we present a scheme of the interaction between a single qubit (SQ) and radiation field (RF) follows the even "binomial distribution" (BD). The density matrix of the SQ-RF system is given in terms of the number of photon transition and RF distribution parameters. The photon statistics and topographical properties of the RF are quantified by the evolution of Mandel parameter and tomographic entropy respectively. We explore the relation between the tomographic entropy and Wehrl entropy of the RF of the estimators of model parameters in the even BD. The results show that the SQ-RF correlation is connected by the tomographical and statistical properties of the proposed system.