Probability

Normal Distribution

Find P(a < X < b) for a normal distribution N(μ, σ). Supports between, left-tail, and right-tail. Shows z-score work and a shaded bell curve.

Live Calculator · Step-by-Step · Probability

Inputs

μ — mean

σ — standard deviation (σ > 0)

Region

a — lower bound

b — upper bound

Result

Enter values and calculate.

Step-by-Step Work

Your explanation will appear here.

Normal Distribution — Shaded Area

Put It Into Practice

The calculator shows the steps — a quiz proves you can do them on your own.

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