\begin{document}$C_6/C_2$\end{document}) of conserved quantities are sensitive to the chiral crossover transition. Recently, the negative \begin{document}$C_6/C_2$\end{document} was obtained in both theoretical Lattice QCD and experiments at \begin{document}$\sqrt{s_{NN}}$\end{document} = 200 GeV. In this study, we investigate the behavior of net-proton \begin{document}$C_6/C_2$\end{document} in statistical Binomial distribution (BD) at \begin{document}$\sqrt{s_{NN}}$\end{document} = 200 GeV in Au + Au collisions. With the BD parameters extracted from RHIC/STAR, it is found that \begin{document}$C_6/C_2$\end{document} can be negative. Furthermore, the obtained \begin{document}$C_6/C_2$\end{document} 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 \begin{document}$C_6/C_2$\end{document} in BD is presented."> The sixth order cumulant of net-proton number in Binomial distribution at <inline-formula><tex-math id="M1">\begin{document}$ {\sqrt{{\boldsymbol s}_{\boldsymbol{NN}}}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/31c9a519-4427-4fad-9534-9da4dccc88fa/CPC-2021-0175_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/31c9a519-4427-4fad-9534-9da4dccc88fa/CPC-2021-0175_M1.png"/></alternatives></inline-formula> = 200 GeV -
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