Jabarkan Consider the sum :Sn=X1+...+Xn. dari Central limit theorem dalam bahasa sunda

Then the expected value of Sn is nμ and its simpangan baku is σ n½. Furthermore, informally spéaking, the distribution of Sn approaches the normal distribution N(nμ,σ2n) as n approaches ∞.

In order to clarify the word "approaches" in the last sentence, we standardize Sn by setting

Then the distribution of Zn converges towards the standard normal distribution N(0,1)

as n approaches ∞ (this is convergence in distribution). This méans: if Φ(z) is the cumulative distribution function of N(0,1), then for every real number z, we have