Coupled normal distribution probability demonstration instrument

Abstract

The invention discloses a coupled normal distribution probability demonstration instrument, improves the normal distribution demonstration instrument Galton pinboard, and is used for visually demonstrating normal distribution coupling relation. The construction scheme is as follows: regular hexagonal prisms form nails which are vertically adhered on front and back substrates, the adjacent surface of two adjacent regular hexagonal prisms and front and back substrates form clearance which constitutes a globule running channel, thus ensuring that the probability of globules falling into a left pipeline or a right pipeline after touching a nail is equal and the globules fall off along the channel and vertically touch the nail edge of the next layer. The substrate is provided with a globule feeding device, a regular hexagonal prism honeycomb array, globule catching tubes and a globule storage box; the globule feeding device is constructed into different globule feeding proportions of two paths of the globules according to binomial distribution principle, the regular hexagonal prism honeycomb array is formed by coupling two independent normal distribution models, and channel of the last layer are the globule catching tubes, all globule catching tubes form an array face which visually demonstrate coupled normal distribution probability graphics of the globules entering the regular hexagonal prism honeycomb array. The invention materializes abstracts concept to material objects, which plays an active role for the instruction of probability theory.

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 the coupling between normal distributions. Background technique [0002] People often encounter some variables in actual work and life, and their distribution is close to normal distribution. The normal distribution describes such a random phenomenon: if the value of a random variable is only affected by many, small random factors, and the role of each factor alone is negligible, then the random variable obeys the normal distribution. state distribution. For example: when shooting, the lateral deviation and vertical deviation of the bullet's landing point from the center point are affected by various factors such as the climate, wind direction, shooter's personality and psychology at that time. These are so small that they can be ignored. However, these The sum of the...

AI Technical Summary

Problems solved by technology

[0027] The technical problem to be solved in the present invention is to overcome the poor test accuracy caused by the structural defects of the Galton demonstration model and the insufficiency that it is difficult to clearly reflect the coupling relationship between two normal distributions, and to design a coupling normal distribution probability demonstration instrument, It is used to realize the intuitive demonstration of the mutual coupling process between normal distributions, which is easy for students to understand and improves the quality of teaching

Images