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.

No sign-in, analytics, storage, external fonts, or transmitted student data.

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.

Predict, then check

Estimate the shaded area before reading the exact result.

Make a prediction, then compare it with the shaded region and exact probability.

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

Static and accessible fallback

All results are stated in text as well as shown graphically. Print this page or use Save as PDF; your instructor can also provide the equivalent static normal-table worksheet.