STEMORIA scientific instrument

Probability Distribution Explorer

Explore Gaussian and exponential probability-density models with synchronized parameters, graphs, and statistics.

MathematicsData Science

Manipulate

Measure

Interpret

Linked scientific model

Probability Distribution Explorer

Compare normalized Gaussian and exponential probability densities while parameters, curve shape, mean, variance, and local density stay linked.

I2 · equation-driven modelone state · synchronized views

Primary scientific view

Probability density

live model output

Interactive measurement plotMove across the graph to inspect values

gaussian pdf

density vs x (dimensionless)

Active point · x (dimensionless) 0 · density 0.3989

Model

f(x) = exp(−(x−μ)²/2σ²)/(σ√2π)

Data

Density at x

0.39894

Mean

Variance

Interpretation

Predict before testing

If σ increases while μ stays fixed, what happens to the Gaussian curve?

STEMORIA scientific instrument

Probability Distribution Explorer

Explore Gaussian and exponential probability-density models with synchronized parameters, graphs, and statistics.

MathematicsData Science

Manipulate

Measure

Interpret

Linked scientific model

Probability Distribution Explorer

Compare normalized Gaussian and exponential probability densities while parameters, curve shape, mean, variance, and local density stay linked.

I2 · equation-driven modelone state · synchronized views

Primary scientific view

Probability density

live model output

Interactive measurement plotMove across the graph to inspect values

gaussian pdf

density vs x (dimensionless)

Active point · x (dimensionless) 0 · density 0.3989

Model

f(x) = exp(−(x−μ)²/2σ²)/(σ√2π)

Data

Density at x

0.39894

Mean

Variance

Interpretation

Predict before testing

If σ increases while μ stays fixed, what happens to the Gaussian curve?