Central limit theorem

• if i have random samples taken from population

  • the whole population has mean $\mu$ and variance ${\sigma }^2$

  • if $\bar{x}$ is the sample mean

    • then the limiting form of the distribution has
    • $Z=\frac{\bar{x}-\mu }{\frac{\sigma }{\sqrt{n}}}$
      • as n -> $inf$ then it follows the standard normal distribution
        • the gaussian PDF Probability