Reference > Fathom Operators, Functions, and Units > Distribution Functions > Normal Distribution

Normal Distribution

The normal distribution has the familiar bell-shaped curve as its density function, coming from

where m is the mean and s is the standard deviation of the distribution.

Shows how the standard deviation parameter of a normal density plot increases as the spread increases

normalCumulative(x, mu, sigma)

This function computes the cumulative probability, Pr(X ≤ x), where X is a normally distributed random variable whose mean is mu and standard deviation is sigma.

normalDensity(x, mu, sigma)

This function calculates the derivative of Pr(X ≤ x). It produces the normal curve with a mean mu and standard deviation sigma.

normalQuantile(c, mu, sigma)

The normal quantile function computes the value x, such that Pr(X ≤ x) = c.


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