Limit theorems and inequalities

Bernoulli’s law of large numbers, the De Moivre-Laplace central limit theorem, and the Bienaymé-Chebyshev inequality, simulated and verified.

Jacob Bernoulli’s law of large numbers: frequencies settle down

Jacob Bernoulli's law of large numbers: frequencies settle down

De Moivre-Laplace and the central limit theorem: the bell curve emerges

De Moivre-Laplace and the central limit theorem: the bell curve emerges

Chebyshev’s inequality: one bound for every distribution

Chebyshev's inequality: one bound for every distribution