The following formula is involved in the calculation of probability density function (PDF) values for the normal distribution:
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Normal distribution probability density function (PDF):

where μ is the mean, and σ is the standard deviation.
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The following references can be used to cite this probability density function (pdf) calculator for the normal distribution:
 | Soper, D.S. (2013). Probability Density Function (PDF) Calculator for the Normal Distribution [Software]. Available from http://www.danielsoper.com/statcalc |
 | Abramowitz, M. and Stegun, I.A., eds. (1965). Handbook of Mathematical Functions. New York, NY: Dover. |