SIMULATION STATS
Dropped ($N$)0
Normal OverlayON
■ The Central Limit Theorem:
As independent random variables, properly normalized, are added, their sum tends toward a normal distribution (a bell curve).
■ Galton Board Mechanics:
Each time a ball hits a peg, it has a 50% chance to go left or right. The resulting position matches a Binomial Distribution.
With enough rows (N), the Binomial Distribution perfectly approximates the Normal Curve (in red).
As independent random variables, properly normalized, are added, their sum tends toward a normal distribution (a bell curve).
■ Galton Board Mechanics:
Each time a ball hits a peg, it has a 50% chance to go left or right. The resulting position matches a Binomial Distribution.
With enough rows (N), the Binomial Distribution perfectly approximates the Normal Curve (in red).