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 |(X₁+...+X_n)/n-μ|< ε for ε an arbitrary positive quantity approaches 1 as n->∞.