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 this tool?

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
  1. Enter Number of Trials (n): A non-negative integer (e.g., 10).
  2. Enter Probability of Success (p): A decimal between 0 and 1 (e.g., 0.5).
  3. Enter Number of Successes (k): A non-negative integer ≤ n (e.g., 5).
  4. 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.

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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.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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