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Binomial Distribution Calculator

Enter Number of Occurrences (n) Enter probability of success (p) Enter Number of successes (k) Moment Number (t) (Optional)
         

How does the Binomial Distribution Calculator work?

Calculates the probability of 3 separate events that follow a binomial distribution. It calculates the probability of exactly k successes, no more than k successes, and greater than k successes as well as the mean, variance, standard deviation, skewness and kurtosis.
Also calculates the normal approximation to the binomial distribution with and without the continuity correction factor
Calculates moment number t using the moment generating function
This calculator has 4 inputs.

What 3 formulas are used for the Binomial Distribution Calculator?

  1. q = 1 - p
  2. f(k;n,p) = n! * pkqn - k/k!(n - k)!
  3. Z = X - np/√np(1 - p)

For more math formulas, check out our Formula Dossier

What 10 concepts are covered in the Binomial Distribution Calculator?

binomial distribution
discrete probability distribution of the number of successes in a sequence of n independent experiments, with a success or failure outcome
continuity correction factor
the bridge between the continuous normal distribution and the discrete binomial
event
a set of outcomes of an experiment to which a probability is assigned.
factorial
The product of an integer and all the integers below it
mean
A statistical measurement also known as the average
moment
a function are quantitative measures related to the shape of the functions graph
probability
the likelihood of an event happening. This value is always between 0 and 1.
P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomes
standard deviation
a measure of the amount of variation or dispersion of a set of values. The square root of variance
variance
How far a set of random numbers are spead out from the mean

Example calculations for the Binomial Distribution Calculator

  1. n=10, p=0.4, x=3



Binomial Distribution Calculator Video