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Statistics

Normal Probability Calculator

Compute probability between two bounds in a normal distribution.

Normal Probability Calculator returns probabilities and quantiles for the normal distribution. It is useful for risk thresholds, scoring models, and statistical coursework. The tool supports interval and tail probability questions quickly. Use it when translating z-scores into intuitive probabilities.

Normal Probability Inputs

Result

z1: -1.000000

z2: 1.000000

P(x1 <= X <= x2): 0.68268949

How to use this tool

  1. Enter mean, standard deviation, and value/range of interest.
  2. Run the calculator to obtain tail or interval probability.
  3. Use output to evaluate threshold likelihood or percentile placement.

Probability learning resources

Promote statistics courses, probability books, and practice problem sets.

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