# Weak Law of Large Numbers Calculator (Bernoullis theorem)

# Khinchins Law | Week Law Of Big Numbers Calculator

This online Weak Law of Large Numbers calculator is also known as Bernoullis theorem calculator.

### Week Law Of Big Numbers Formulas Explanation

Where,

μ = Sample mean

n = Number of samples

X-bar = Sample value

As the sample size n grows to infinity, the probability that the sample mean X-bar differs from the population mean mu by some small amount epsilon is equal to 0.

**(Khinchin 1929)**. Stated another way, the probability that the average |(X_{1}+...+X_{n})/n-μ|< ε for ε an arbitrary positive quantity approaches 1 as n->∞.

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