Normal Distribution

Interactive Probability Density Function (PDF) & Cumulative Area

f(x) =1σ√(2π) e-(x-μ)² / 2σ²

Live Result

P(-1.50 ≤ X ≤ 1.50)
68.27%
-10-8-6-4-20246810μ-3σμ-2σμ-1σμμ+1σμ+2σμ+3σ0.20.40.60.8
Visualization: The blue curve represents the probability density. The total area under the curve always equals 1 (or 100%).