Mean and variance of a discrete distribution

Aim :

To find mean and variance of arrival of objects from the feeder using probability distribution

Software required :

Python and Visual components tool

Theory:

The expectation or the mean of a discrete random variable is a weighted average of all possible values of the random variable. The weights are the probabilities associated with the corresponding values. It is calculated as,

The variance of a random variable shows the variability or the scatterings of the random variables. It shows the distance of a random variable from its mean. It is calcualted as

Procedure :

1. Construct frequency distribution for the data

2. Find the probability distribution from frequency distribution.

3. Calculate mean using

   

4. Find

   

5. Calculate variance using

   

Experiment :

Program :

Output :

Results :

The mean and variance of arrivals of objects from feeder using probability distribution are calculated.