Binomial distribution

 In this post i am going to share my own handwritten notes of binomial distribution.

I have also uploaded many videos on various discrete distributions on my YouTube channel study nutz......link👉 https://youtube.com/channel/UC0MOc_xiE45t5TzjrJG7wGA

If you like my YouTube channel pls 🙏like share and subscribe.

And if you have any doubt in calculations...pls ask me in comments...i will definitely solve your problems

1#.Definition of Probability mass function ( p.m.f)

Parameters and notation

2# Physical conditions for binomial distribution

3# Moments about origin 

Well all these moments about origin can be easily calculated by learning 3 steps...which i had explained in my YouTube vedeo and link of that video is given in end of this blog post...so pls watch 

First moment about origin

Second moment about origin

Third moment about origin

Fourth moment about origin

So now rest of moments about mean and coefficients of skewness and kurtosis can be easily calculated form these formulas

4# Additive property

5# Recurrence relation for probabilities of binomial distribution or for fitting of binomial distribution

6# Factorial moments of binomial distribution

7# Moment generating function about origin  and  moment generating function about mean

8# Characteristic function and probability generating function

9# Mode

10# Cumulant generating function

Cumulants

11# Recurrence relation for the moments of binomial distribution

Also please watch Oral explanation of these articles on my YouTube channel videos👇👇