# Binomial distribution Calculator

## Calculates the probability mass function and lower and upper cumulative distribution functions of the binomial distribution.

 percentile x(success number) 0≦x≦n trials n n=1,2,... probability of success p 0≦p≦1 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Binomial\ distribution\\[10](1)\ probability\ mass\\\hspace{30}f(x,n,p)={}_nC_xp^x(1-p)^{n-x}\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,n,p)={\large\sum_{t=0}^{x}}f(t,n,p)\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,n,p)={\large\sum_{t=x}^{n}}f(t,n,p)\\(4)\ expectation(mean):\hspace{10}np\\$

Binomial distribution
 [1-8] /8 Disp-Num5103050100200
[1]  2018/11/13 04:36   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
I just wanted to calculate the probably of someone passing a 100 question multiple choice test by guessing every question
Comment/Request
None
[2]  2018/06/07 11:25   Male / 30 years old level / Others / Useful /
Purpose of use
Curious about the chance that 0 of 1 million people do not win the lottery if the chance is 1 in a million to win. (Actually I was curious about the complement, at least 1 win.)
Comment/Request
Thanks for the tool!
[3]  2016/01/22 15:25   Male / 40 years old level / An office worker / A public employee / Very /
Purpose of use
Check solution to a math problem
[4]  2015/05/20 18:13   Male / 20 years old level / A teacher / A researcher / Very /
Purpose of use
research on reliability of memory devices
Comment/Request
Thank you very much. It really helps a lot!
[5]  2015/02/12 21:36   Male / 30 years old level / An engineer / A little /
Purpose of use
maths
[6]  2011/04/26 22:35   Male / 50 years old level / A teacher / A researcher / Very /
Purpose of use
Quick calculus to use on class examples
Comment/Request
Excelent on milestone
[7]  2010/03/23 23:59   Female / 50 level / A university student / Very /
Purpose of use
homework for graduate nursing stats class
Comment/Request
easy to use, difficult process without calculator
[8]  2009/01/22 11:16   Male / 20 level / A university student / Very /
Comment/Request
good job. keep it up

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