Binomial Distribution Calculator
Calculate exact probability P(X = k), cumulative probability P(X ≤ k), and upper-tail probability P(X ≥ k) for a binomial distribution.
Formula:
P(X = k) = C(n,k) · p^k · (1-p)^(n-k)
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Privacy: calculations run locally in your browser. No inputs are stored or transmitted.
How it works
The binomial distribution models the number of successes in n independent trials with fixed success probability p.
Examples
- n = 10, p = 0.5, k = 3
- Exact probability is P(X = 3)
- Cumulative probability is P(X ≤ 3)
When to use this tool
This tool is designed for quick, practical tasks such as everyday calculations, data formatting, or simple conversions. It is best used when you need fast results without installing software or using complex tools.
When to use
- Quick checks or one-time calculations
- Validating or converting data before using it elsewhere
- Simple tasks that do not require advanced software
When not to use
- Critical financial, legal, or medical decisions
- Large-scale or automated processing
- Situations requiring guaranteed precision beyond basic validation
Always review results before using them in important contexts.
About this tool
This tool helps you perform quick utility operations directly in your browser. It runs entirely in your browser without sending data to a server.
You can use this tool when handling simple tasks without installing additional software. The results should be interpreted as a processed output based on your input data.
FAQ
- What does this binomial calculator compute?
It computes the exact probability P(X = k) and cumulative probabilities for a binomial distribution.
- What inputs are required?
You need number of trials n, probability of success p, and desired number of successes k.
- What range can probability p take?
Probability p must be between 0 and 1 inclusive.
- Are calculations stored?
No. Everything runs locally in your browser.