Math & Statistics
Normal CDF Calculator
Find the cumulative probability for a normal distribution.
Your inputs
Change any value to update the result instantly.
P(X ≤ x)
0.8413
Z-score
1
P(X > x)
0.1587
Formula and working
P(X ≤ x) = Φ((x − μ) ÷ σ)
- 1
Substitute your values
Value x = 70; Mean μ = 60; Standard deviation σ = 10
- 2
Apply the formula
P(X ≤ x) = Φ((x − μ) ÷ σ) = 0.84
Frequently asked questions
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
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