New in Wolfram
Mathematica
8: Probability and Statistics Solvers and Properties
◄
previous
|
next
►
Core Algorithms
Compute a Complex Probability
Compute the probability of an event that is represented by a region in the complex plane.
In[1]:=
X
prob = Probability[ 2 x < Abs[x^2 + I y] < 5, {x, y} \[Distributed] ProductDistribution[{UniformDistribution[{-3, 7}], 2}]] ;
In[2]:=
X
Labeled[RegionPlot[ 2 x < Abs[x^2 + I y] < 5, {x, -2.5, 2.5}, {y, -5, 5}, Mesh -> 10, PlotStyle -> Hue[.6, .3, .9], ImageSize -> 350], Style[Row[{TraditionalForm[Pr[2 x < Abs[x^2 + I y] < 5]], TraditionalForm[prob]}, "="], FontFamily -> "Verdana"]]
Out[2]=