For Students · Bayesian Inference
Bayesian Inference for an exam-score curve
Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate an exam-score curve live below — adjust the inputs and watch it respond, right in your browser.
Bayesian InferenceLive
prior × likelihood → posterior
Controls
Presets
Bayesian inference updates a prior belief with data to form a posterior. For a coin, a Beta prior combined with binomial coin flips gives a Beta posterior — the conjugate update is just adding heads to α and tails to β. Watch the posterior sharpen and shift as evidence accumulates.
Data Inspector
Posterior mean0.667
Posterior SD0.094
Posterior α, β16.0, 8.0
Governing equation
Reading this result: The posterior mean 0.667 sits between the prior mean 0.500 and the observed rate 0.700; with 20 flips versus 4.0 pseudo-counts, the data dominates and pulls the estimate toward the evidence.
Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.
Also for:ResearchersEducatorsEngineersHobbyists & MakersK-12 StudentsFirst RespondersGeneral version →
More with Bayesian Inference
Bayesian Inference for an A/B testBayesian Inference for a survey sampleBayesian Inference for a poll marginBayesian Inference for a quality-control chartBayesian Inference for a clinical trialBayesian Inference for a customer churnBayesian Inference for a click-through rateBayesian Inference for a defect rate
Frequently asked questions
- Is this good for students?
- Yes — this version of "Bayesian Inference for an exam-score curve" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.