Probability Distribution Calculator
Compute PMF/PDF, CDF, mean and variance for common distributions: Binomial, Normal, Poisson and Uniform.
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About this Probability Distribution Calculator
This Probability Distribution Calculator supports several common probability distributions and returns core statistics: PMF (for discrete distributions), PDF (for continuous), CDF, mean and variance. It is ideal for students, data scientists, engineers, and hobbyists who need fast, accurate distribution computations without leaving the browser.
The binomial distribution is useful for modeling the number of successes in fixed trials with constant success probability. The Poisson distribution models counts of rare events over fixed intervals. The normal distribution is the backbone of continuous statistics and the uniform distribution is useful for simple modeling assumptions where each value within [a, b] is equally likely.
Practical use cases include hypothesis testing practice, quick sanity checks for probability homework, and on-the-fly calculations when designing experiments or analyzing discrete event simulations. All computations are performed locally and no data is sent to any server.
Frequently Asked Questions
Which distributions are supported?
Binomial, Normal (Gaussian), Poisson, and Uniform. More can be added on request.
Are calculations exact?
Discrete PMFs (binomial/poisson) use exact formulas. Normal CDF uses an erf approximation which is highly accurate for practical use.
Is any data stored?
No. All computations run locally in your browser.