Weak law of large numbers

Description:

• Let $X_1,X_2,...$ be a sequence of independent and identically distributed random variables, each having finite mean $E[X_i]=\mu$. Then, for any $\epsilon >0$
  • $P(|\frac{X_1+...+X_n}{n}-\mu |\ge \epsilon )\to 0$ as n → ∞.