## Laplace Distribution Calculator

Use this calculator to find the probability density and cumulative probabilities for Laplace distribution with parameter $\mu$ and $\lambda$.

Laplace Distribution Calculator
Location parameter $\mu$:
Scale parameter $\lambda$
Value of x
Results
Probability density : f(x)
Probability X less than x: P(X < x)
Probability X greater than x: P(X > x)

## Laplace Distribution

The probability density function of Laplace distribution with parameter $\mu$ and $\lambda$ is $$\begin{equation*} f(x;\mu, \lambda)=\left\{ \begin{array}{ll} \frac{1}{2\lambda}e^{-\frac{|x-\mu|}{\lambda}}, & \hbox{-\infty < x< \infty;} \\ & \hbox{-\infty < \mu < \infty, \lambda >0;} \\ 0, & \hbox{Otherwise.} \end{array} \right. \end{equation*}$$