Learn How to Calculate Weak Law of Large Numbers - Tutorial

How to Calculate Weak Law of Large Numbers - Tutorial, Definition, Formula, Example

Definition:

The weak law of large numbers is a result in probability theory also known as Bernoulli's theorem. According to the law, the mean of the results obtained from a large number of trials is close to the population mean.

Formula:
law-of-large-numbers
Where,

μ = Sample mean n = Number of samples Xi = Sample value

Example :

A six sided die is rolled large number of times. Calculate the sample mean of their values.

To Find,

Sample Mean

Solution:
Mean = (1 + 2 + 3 + 4 + 5 + 6) / 6
= 21 / 6
= 3.5

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