Method and instrument for constructing tri-item probability distribution demonstration model

Abstract

The invention discloses a construction method of a trinomial probability distribution demonstration model and an instrument thereof, which mainly solves the problem that the existing binomial probability demonstration model can not demonstrate trinomial probability distribution. The interrelation among trinomial coefficients is adopted, the trinomial probability distribution demonstration model is modeled into a generalized Yang Hui tetrahedron, and simultaneously the basic theory of trinomial probability distribution and the existing mechanical technological level are combined, an instrument which can perform trinomial probability distribution demonstration is designed and manufactured. The instrument comprises m monomers, each monomer comprises a main pipeline and three branch pipelines which form an integral structure, the monomers are connected into n layers of mesh three dimensional structures, and the quantity of monomers in each layer is set according to 1 / 2 (k plus 1) (k plus 2), wherein k is equal to 1, 2 until n. A long pipe is connected with the lowest layer, and the trinomial probability distribution can be intuitively represented by counting the quantity of balls in the long pipe and comparing the theoretical values of the trinomial probability distribution. The invention has the advantages of low manufacture difficulty, high process precision and visual pattern, and can be applied to the trinomial probability distribution demonstration in the probability theory teaching.

Description

technical field [0001] The invention belongs to the technical field of teaching instruments, in particular to a probability demonstrator, which can be used in the teaching of probability theory to demonstrate three-item probability distribution. Background technique [0002] In the teaching of probability theory, students are often unable to form a more intuitive concept of probability due to the abstraction of knowledge itself. Therefore, it is necessary to use teaching instruments to demonstrate the distribution of probability or the process of its formation, so that students can form an intuitive concept of probability distribution. understanding and achieve better teaching results. The probability demonstrator is to geometricize the probability distribution, combined with mechanical or other knowledge, to demonstrate the formation process of the probability distribution, and to simulate and observe the final distribution results. However, due to the difficulty in design...

AI Technical Summary

Problems solved by technology

[0023] However, with the emergence of the three-term probability distribution problem, the probability distribution problem is more complicated and abstract

Since the Gelton pegboard model is a two-dimensional demonstration model, it can only demonstrate the binomial probability distribution, but cannot demonstrate the three-term probability distribution, so the three-term probability distribution in teaching is not conducive to being understood and accepted by students

Images