Standard Normal Distribution Explorer

Choose the region. Drag the curve. Read the probability.

Students can compare left-tail, right-tail, between, and two-tail questions by moving cutoff values with either the controls or the graph itself.

Setup

Region and z-scores

Probability controls

Switch the question type, then move the cutoff values with the sliders or by dragging directly on the graph.

a cutoff a = 1.15
b cutoff b = 1.45

Classroom-ready examples

Jump to a common prompt with one click.

Visualization

Normal curve and shaded region

Drag the shaded region or its cutoff lines to update the z-score directly from the graph.

The blue area is the probability requested by the current z-score statement. In the between case, drag inside the band to shift both cutoffs together.

Area readout

The symbolic question and shaded probability update together.

Question

Area