The DensityPlot command plots the density of the specified random variable. By default, the range is taken between the 1st and the 99th percentiles of the underlying distribution.

The first parameter can be a distribution (see Statistics[Distribution]), a random variable, or an algebraic expression involving random variables (see Statistics[RandomVariable]).

It must be possible to evaluate the PDF (for continuous distributions) or the ProbabilityFunction (for discrete distributions) to numeric constants.

If the ['interactive'] option is used, then a dialog box appears that allows for customized creation of the plot.

The options argument can contain one or more of the options shown below. All unrecognized options will be passed to the plots[display] command. See plot/options for details.

discont=true or false

Allows detection of discontinuities. The discont option can only be specified when X contains at least one continuous random variable. By default discont is set to false. For details, see plot/discont.

range=deduce or range

By default this is deduce.  This option is used to bound the horizontal real range on which the density is plotted.

$\mathrm{with}\left(\mathrm{Statistics}\right)\:$

$X≔\mathrm{RandomVariable}\left(\mathrm{Normal}\left(0\,1\right)\right)$

$X≔\mathrm{\_R}$

$Y≔\mathrm{RandomVariable}\left(\mathrm{Normal}\left(0\,1\right)\right)$

$Y≔\mathrm{\_R0}$

$\mathrm{DensityPlot}\left(X\,\mathrm{range}=-2..2\right)$

$\mathrm{DensityPlot}\left(\frac{X}{Y}\,\mathrm{range}=-2..2\,\mathrm{color}=''Niagara\; Red''\right)$

$f≔x\mapsto \mathrm{piecewise}\left(\mathrm{-1}<x<1\&comma;\frac{3\cdot x^2}{2}\&comma;0\right)$

$f≔x\mapsto \left\{\begin{array}{cc}\frac{3\cdot x^2}{2}& \mathrm{-1}<x<1\\ 0& \mathrm{otherwise}\end{array}\right.$

$F≔\mathrm{Distribution}\left(\mathrm{PDF}=f\right)\&colon;$

$Z≔\mathrm{RandomVariable}\left(F\right)\&colon;$

$\mathrm{DensityPlot}\left(Z\&comma;\mathrm{range}=-2..2\&comma;\mathrm{thickness}=2\&comma;\mathrm{color}=\mathrm{red}\&comma;\mathrm{discont}=\mathrm{true}\right)$

$\mathrm{DensityPlot}\left(Z\&comma;\mathrm{range}=-2..2\&comma;\mathrm{thickness}=2\&comma;\mathrm{color}=\mathrm{red}\&comma;\mathrm{discont}=\mathrm{false}\right)$

$\mathrm{DensityPlot}\left(\mathrm{GeometricDistribution}\left(\frac{1}{3}\right)\&comma;\mathrm{background}=''LightGrey''\&comma;\mathrm{gridlines}\right)$

The Statistics[DensityPlot] command was updated in Maple 2017.

The discont option was introduced in Maple 2017.

For more information on Maple 2017 changes, see Updates in Maple 2017.