  It is proposed that ratios of the sixth order to the second order cumulant
($C_6/C_2$) of conserved quantities are sensitive to the chiral crossover
transition. Recently, the negative $C_6/C_2$ was obtained both in theoretical
Lattice QCD and experiments at $\sqrt{s_{NN}} = $ 200 GeV. In this study, we
investigate the behavior of net-proton $C_6/C_2$ in statistical Binomial
distribution (BD) at $\sqrt{s_{NN}} = $ 200 GeV in Au + Au collisions. With the
BD parameters extracted from RHIC/STAR, it is found that $C_6/C_2$ can be
negative. Furthermore, the obtained $C_6/C_2$ becomes smaller when applying the
same magnitude of experimental statistics and calculation method to
simulations. In 0-10\% centrality, there is a significant difference between
the simulated result and theoretical expectation. Based on the extracted
parameters and experimentally collected statistics, the baseline of net-proton
$C_6/C_2$ in BD is presented.
