Binomial Distribution Formula

The binomial probabiliy distribution formula is: $latex P(x) = \frac{n!}{(n-x)!x!}*p^x*q^{n-x}$  for x = 0, 1, 2, 3, ..., n

The notation for the binomial distribution formula are as followed:
n=number of trials
x- number of success that happen during n trails
p = Probability of success  [Note: If given the q then (p = 1-q)]
q = Probability of failure  [Note: If given q then (q=1-p)]
! = Factorial
binomial distribution mean = n*p
The binomial distribution standard deviation is calculated by square root of (n*p*q)
The variance of a binomial distribution can be calculated by n*p*q

Before using this formula always verify that it meets the requirements necessary for a binomial probability distribution.  Remember that the ! symbol represents a factorial.

Learn how to solve a Binomial Distribution TI-84 | TI-83 by following the guide but make sure it meets the necessary requirements which can be found using the Binomial Probability Distribution Definition.




Last Modified on February 18, 2013 by JoeStat

Speak Your Mind

*