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Normal Distribution Tool




How the Calculator Works

The calculator first computes the Z‑score:

Z = (x − μ) / σ
  

Then it uses the standard normal cumulative distribution function (CDF) to compute the probability that a value is less than x.

Example

x = 85  
μ = 70  
σ = 10  

Possible Output:
Z‑score = 1.50  
Probability (P(X < x)) = 0.9332