Probability & Distributions

Probability Distributions & Simulation

Calculate probabilities and critical values, explore continuous and discrete distributions, generate random data, and investigate sampling behavior through interactive statistical tools.

For confidence intervals and hypothesis testing, explore our statistical inference tools .

Distribution Explorer

Inspect distribution shapes, theoretical properties, quantiles, cumulative probabilities and tail behavior.

Interactive explorer
Single distribution Compare distributions
Distribution parameters
Standard Normal Theoretical properties
Support [−∞, +∞]
Mean 0
Median 0
Variance 1
Standard deviation 1
Skewness 0
Excess kurtosis 0
Selected quantiles
p Percentile Quantile
0.01 1% -2.326348
0.025 2.5% -1.959964
0.05 5% -1.644854
0.25 25% -0.67449
0.5 50% 0
0.75 75% 0.67449
0.95 95% 1.644854
0.975 97.5% 1.959964
0.99 99% 2.326348

Distribution function

Change between density or mass, cumulative probability, survival probability and hazard where available.