Abstract
Statistical methods of control of point components and quality of point products are an integral part of modern point production, and their application is closely connected with solving tasks of increasing labour productivity and general enterprise culture, saving materials, and reducing defects. The paper presents a derivation of basic formulas for a binomial distribution of elements of the railway track superstructure. Calculation of theoretical distribution is made. The interrelation between probability theory, statistics, and quality control of point products is considered.