Distribution explorer
Pick a distribution and move its parameters. The orange curve is the exact distribution; the blue histogram is a simulation drawn from it. Bigger samples track the curve more closely — that's the law of large numbers at work.
Read the idea behind it and what it's used for → · See how it relates to other distributions →
Density
Probability calculator
Ask a question about X. The exact answer is shaded on the chart above and compared with the simulation.
Cumulative distribution
Probability that X is at most x.
Running sample mean
The average of the first m samples, as m grows.
Theory vs. simulation
Sample variance uses the n − 1 (unbiased) denominator.
| Statistic | Theoretical | Simulated | Difference |
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