According to the conclusion that the charge which passes through a low-temperature quantum conductor over fixed time has a binomial distribution, a shot noise model based on the physical implication of Landauer formula in the coherent and mesoscopic system is built, and time sequences of shot noise are produced by the Monte Carlo methods. It is well known that shot noise suppression in mesoscopic systems originates from the correlation in electron transport, and the bimodal probability distribution of the transmission eigenvalues in quantum chaos cavity and disordered metal leads to shot noise suppression, from which it is possible to correlate the distribution of the transmission eigenvalues and the correlation in electron transport.