Editing Law of large numbers (section)

== Consequences ==
The law of large numbers provides an expectation of an unknown distribution from a realization of the sequence, but also any feature of the [[probability distribution]].<ref name=":0" /> By applying [[Borel's law of large numbers]], one could easily obtain the probability mass function. For each event in the objective probability mass function, one could approximate the probability of the event's occurrence with the proportion of times that any specified event occurs. The larger the number of repetitions, the better the approximation. As for the continuous case: <math>C=(a-h,a+h]</math>, for small positive h. Thus, for large n:

<math display="block"> \frac{N_n(C)}{n}\thickapprox
p = P(X\in C) = \int_{a-h}^{a+h} f(x) \, dx 
\thickapprox
2hf(a)</math>

With this method, one can cover the whole x-axis with a grid (with grid size 2h) and obtain a bar graph which is called a [[histogram]].