Rigorous geometric distribution moments tool for students analysts and researchers. Enter a success probability choose the trial convention and instantly view mean variance and second moment with formulas validation and tips. Built for clarity precision and reproducible study plus quick checks for teaching lab and homework. Optimized for desktop tablet mobile with accessible controls.
Trials until first success support 1 2 3 ...
Failures before first success support 0 1 2 ...
Enter p and choose a convention then press Compute to see results
This calculator evaluates moments for the geometric distribution focusing on mean variance and the second raw moment. The model uses one parameter p that represents the probability of success in a single independent trial. Two conventions are supported. The first sets X as the number of trials until the first success and the support begins at one. The second sets X as the number of failures before the first success and the support begins at zero.
Choose trials until first success when you count trials from one or failures before first success when you count failures from zero.
Select a convention set p and run the computation then copy or print the results for your notes.
Formulas above match the selected convention and update your interpretation of mean variance and the second moment.
Use the mean to plan typical effort and use the variance and standard deviation to gauge range and uncertainty.
Input checks prevent invalid p and the display uses stable rounding while internal math keeps higher precision.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.