Free Binomial Distribution Calculator - 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.

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.

q = 1 - p

f(k;n,p) = n! * p^{k}q^{n - k/k!(n - k)!Z = X - np/√np(1 - p)For more math formulas, check out our Formula Dossier}

f(k;n,p) = n! * p

- 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