I checked the outline, the theorem of large numbers and the central limit theorem.

Law of Large Numbers and Central Limit Theorem

Examination content

Chebyshev's law of large numbers

Bernoulli's law of large numbers

Qinqin law of large numbers

De Morville-Laplace Theorem

Levy-Lindbergh theorem

Examination requirements

1. Understand Chebyshev's law of large numbers, Bernoulli's law of large numbers and Sinchin's law of large numbers (law of large numbers for independent and identically distributed random variable sequences).

2. Understand de moivre-Laplacian central limit theorem (binomial distribution takes normal distribution as the limit distribution) and Levi-Lindbergh central limit theorem (central limit theorem of independent identically distributed random variable sequence), and use relevant theorems to approximately calculate the probability of random events.