Probability Distribution Explorer

Switch between discrete and continuous distributions, tune parameters with live controls, and watch the curve react in real time. A built-in sampler also tracks repeated sample means so the Central Limit Theorem becomes visible as you experiment.

9 DistributionsDiscrete and continuous families in one view.
Live MomentsMean, variance, skewness, and kurtosis update instantly.
Sampling LabDraw samples, inspect summary stats, and build a mean curve.
CLT IntuitionCompare empirical mean histograms with a normal overlay.

Distribution Plot

Live probability view based on the chosen distribution.

PMF

Sampling And Central Limit Theorem

Draw repeated samples from the current distribution. The table stores each sample's size, mean, and standard deviation.

Total Samples0
Mean Of Sample Means-
Std. Dev. Of Sample Means-
#Sample SizeSample MeanSample Std. Dev.
No samples drawn yet.

Histogram Of Sample Means

Once enough samples are drawn, the empirical mean distribution should resemble a normal curve.

CLT