Geometric Distribution Calculator
Result
Geometric Distribution Calculator — free online calculator.
Formula
- Geometric Distribution Calculator calculates its result from Success Probability (p), Trial Number (k). It uses the formula P(X=k) = (1−p)^(k−1) × p · μ = 1/p · σ² = (1−p)/p². Change any input to recalculate the result instantly.
- The main inputs are Success Probability, Trial Number. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Geometric Distribution
- Success Probability: 0.3
- Trial Number: 4 k
With p=0.3 and k=4: P(X=4)=10.29%, cumulative P(X≤4)=75.99%, survival P(X>4)=24.01%, mean≈3.3333, variance≈7.7778.
Sample result: Calculating…
Frequently asked questions
What does the Geometric Distribution calculate?
Geometric Distribution Calculator — free online calculator.
Which values should I enter?
Enter Success Probability, Trial Number using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: P(X=k) = (1−p)^(k−1) × p · μ = 1/p · σ² = (1−p)/p².
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.