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)
Result will appear here.
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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)
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.