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Below you will find descriptions and links to 8 free statistics calculators for computing values associated with the binomial distribution.

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This calculator will compute the value of a binomial coefficient , given values of the first nonnegative integer n, and the second nonnegative integer k.

This calculator will compute the probability of an individual binomial outcome (i.e., a binomial probability), given the number of successes, the number of trials, and the probability of a successful outcome occurring.

This calculator will compute the 99%, 95%, and 90% confidence intervals for a binomial probability, given the number of successes and the total number of trials. This calculator relies on the Clopper-Pearson (exact) method.

This calculator will compute cumulative probabilities for a binomial outcome, given the number of successes, the number of trials, and the probability of a successful outcome occurring. For the number of successes x, the calculator will return P(X<x), P(X≤x), P(X>x), and P(X≥x).

This calculator will compute the cumulative distribution function (CDF) for the binomial distribution, given the number of successes, the number of trials, and the probability of a successful outcome occurring.

This calculator will tell you the expected value for a binomial random variable, given the number of trials and the probability of success.

This calculator will compute the probability mass function (PMF) for the binomial distribution, given the number of successes, the number of trials, and the probability of a successful outcome occurring.

This calculator will tell you the variance for a binomial random variable, given the number of trials and the probability of success.