Statistics & Probability
Normal Distribution Calculator
Lets users solve and check normal distribution instantly with formula, steps and examples — no manual math.
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Your result
P(X ≤ x)
97.5%
P(X ≤ 1.96) = 97.50% (z = 1.960).
P(X > x)
2.5%
Z-score
1.96
Probability density
0.0584
About this calculator
For a normal distribution, converts x to a z-score and gives the cumulative probability (area under the curve). At z = 1.96, about 97.5% lies below — the basis of 95% confidence intervals.
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