Binomial Pdf Calculator
Calculate the probability mass function (PMF) of a binomial distribution. Given the number of trials (n), probability of success (p), and number of successes (k), it computes P(X = k).
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How to Use the Binomial PDF Calculator
This calculator computes the probability of exactly k successes in n independent trials, each with success probability p.
Step-by-Step Instructions
- Enter Number of Trials (n): A non-negative integer (e.g., 10).
- Enter Probability of Success (p): A decimal between 0 and 1 (e.g., 0.5).
- Enter Number of Successes (k): A non-negative integer ≤ n (e.g., 5).
- Click "Calculate": The result shows P(X = k) with the formula breakdown.
Note: All inputs must be numbers. k cannot exceed n, and p must be between 0 and 1.
Previous Results
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Frequently Asked Questions
A binomial distribution models the number of successes in a fixed number of independent trials, each with the same probability of success.
It is the probability of exactly k successes in n trials, given success probability p.
Fixed number of trials, each trial independent, only two outcomes (success/failure), constant probability of success.