.. _auto_math_norm_dist:

* COMPUTE THE NORMAL DISTRIBUTION*
==================================

Computes the normal (Gaussian) distribution for a given z-value, returning either the probability density function (PDF) or the cumulative distribution function (CDF). Use this worker when you need to evaluate a standard normal distribution at a specific point within a statistical or signal-processing pipeline.

When to use
-----------

Classification: **process**.

Tagged: ``cdf``, ``gaussian``, ``math``, ``norm_dist``, ``normal_distribution``, ``pdf``, ``statistics``.

Inputs
------

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   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Dist Value
     - distvalue
     - scalar
     - —
     - 
     - The z-value (standard normal deviate) at which to evaluate the distribution; a dimensionless scalar — leave blank if the value will be wired from an upstream worker.
   * - Dist Type
     - disttype
     - string
     - probability
     - 
     - Selects the distribution form to compute: 'probability' returns the PDF value at the given z-score, 'cumulative' returns the CDF (area under the curve up to z); defaults to 'probability'.

Outputs
-------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20

   * - Label
     - ID
     - Type
     - Description
   * - math_norm_dist_output_1
     - math_norm_dist_output_1
     - scalar
     - Scalar result of the normal distribution evaluation — a probability density value (PDF, unbounded positive) when disttype is 'probability', or a cumulative probability in [0, 1] when disttype is 'cumulative'.

Disciplines
-----------

- data.statistics

Runnable example
----------------

A runnable example is registered for this worker. Open the example workflow on the d3VIEW canvas: `/api/workflow/example?id=math_norm_dist <https://www.d3view.com/api/workflow/example?id=math_norm_dist>`_

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>math_norm_dist</code>. Schema hash: <code>52cf653af745</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
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