Normal Distribution Cdf
Normal Distribution Cdf - Solve mathematical problems with step-by-step solutions.
Normal Distribution CDF
The cumulative distribution function (CDF) of a normal N(μ, σ) gives the probability that X ≤ x.
Standard Relation
Φ(z) = ½ [1 + erf(z/√2)] where z = (x − μ)/σ.
Example
For μ=0, σ=1, x=1 → z=1 → Φ(1) ≈ 0.8413.
FAQs
Two-tailed probabilities?
Use symmetry: P(|Z| ≥ z) = 2[1 − Φ(z)].
Nonstandard μ, σ?
Standardize via z = (x − μ)/σ.
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