Exponential equations

· Format:

Exponential(1/β)

· Probability density function:

$\begin{array}{l}\displaystyle f(x)=\frac{exp \bigg( -x/\beta\bigg)}{\beta}\end{array}$

· Cumulative distribution function:

$\begin{array}{l}\displaystyle F(x)=1- exp \bigg( -x/\beta\bigg)\end{array}$

· Parameter restrictions:

β > 0

· Domain:

x ≥ 0

· Mean:

β

· Mode:

0

· Variance:

β²

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