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Math
Binomial Distribution
P(X=k) for n trials
Runs locally in your browser
Parameters
Results
- P(X = k)
- 0.178863
- P(X ≤ k)
- 0.4164
- E[X]
- 6
How it works
Calculate binomial probabilities P(X = k) and cumulative P(X ≤ k).
Who it's for: Statistics students and quality-control analysts modeling pass/fail trials.
Models n independent trials each with success probability p.
Shows exact probability of exactly k successes and cumulative probability up to k.
Displays expected value E[X] = n·p.
How to use
- Enter n (number of trials), k (successes), and p (success probability).
- Read P(X = k) and P(X ≤ k) along with E[X].