Normal Distribution Calculator

Calculate probabilities from a normal distribution. Enter mean, standard deviation, and x-value to get z-score, cumulative probability, and PDF value.

How to Use Normal Distribution Calculator

Enter the mean (μ), standard deviation (σ), and an x-value. The calculator computes the z-score, cumulative probability P(X ≤ x), upper tail probability P(X > x), and the probability density function value at x.

Step-by-Step Instructions

  1. Enter the mean (μ) of the distribution
  2. Enter the standard deviation (σ) — must be positive
  3. Enter the x-value to evaluate
  4. Click Calculate to see z-score and probabilities

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