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The notion of standard positive probability distribution function (tomogram)which describes the quantum state of universe alternatively to wave function orto density matrix is introduced. Connection of the tomographic probabilitydistribution with the Wigner function of the universe and with the star-product(deformation) quantization procedure is established.  Using the Radon transform the Wheeler-De Witt generic equation for theprobability function is written in tomographic form. Some examples of theWheeler-DeWitt equation in the minisuperspace are elaborated explicitly for ahomogeneous isotropic cosmological models. Some interpretational aspects of theprobability description of the quantum state are discussed.Comment: 22 pages LaTeX, some minor corrections, new references added,  submitted to General Relativity and Gravitatio

Radon transform of the Wheeler-De Witt equation and tomography of quantum states of the universe