Galton board normal distribution model ornament
$55 – $80
Galton board normal distribution model ornament is a decorative or educational display device that uses the random descent of small balls through a field of pegs to visually and physically demonstrate the Central Limit Theorem and the formation of a bell-shaped normal distribution curve.
Detailed Explanation of the Galton board Normal Distribution Experiment Experimental Setup:
Vertical plate: It has an opening at the top and multiple vertical collection grooves arranged at the bottom.
Multi-layer nails: The nails are arranged alternately, with one more nail on each layer than the upper one, forming a triangular layout. The small ball: Released from the top, it collides with the nail during its fall and eventually lands in a certain groove at the bottom.
Experimental phenomenon:
The path of a single small ball is random and it may fall into any slot.
After releasing a large number of small balls, the middle slot accumulates the most, while the number on both sides gradually decreases, forming a bell-shaped curve.
Mathematical principle:
binomial distribution model:
Each layer of nails represents an independent test. The probability p of each collision of the small ball to the left/right is 0.5.
Dalton board Application field:
Probability education: Visually demonstrate how random processes generate deterministic distributions.
Quality control: Simulate the cumulative effect of production errors and explain the normal distribution phenomenon of product parameters.
Financial model: By analogy with the random walk of asset prices, it provides physical intuition for the Black-Shulls option pricing model.
Vietnamese 
English 
German 
French 
Spanish 
Russian