With the help of sympy.stats.ContinuousRV() method, we can get the continuous random variable which represents the Continuous Random Variable distribution.
Syntax :
sympy.stats.ContinuousRV(symbol, density, set=Interval(- oo, oo))Parameter :
1) Density – represents the probability density function.
2) set – represent the reason where density function is valid.Return : Return the continuous random variable.
Example #1 :
In this example we can see that by using sympy.stats.ContinuousRV() method, we are able to get the continuous random variable representing Continuous Random Variable distribution by using this method.
# Import sympy and ContinuousRV from sympy.stats import ContinuousRV, P, E
from sympy import Symbol, pprint, sqrt
z = Symbol("z")
pdf = sqrt(2)*z / pi
# Using sympy.stats.ContinuousRV() method X = ContinuousRV(z, pdf)
gfg = density(X)
pprint(gfg) |
Output :
ContinuousDistributionHandmade(Lambda(z, Piecewise((sqrt(2)*z/pi, (z >= -oo) &
(z < oo)), (0, True))), Interval(-oo, oo))
Example #2 :
# Import sympy and ContinuousRV from sympy.stats import ContinuousRV, P, E
from sympy import Symbol, pprint, sqrt
z = Symbol("z")
pdf = sqrt(2)*z / pi
# Using sympy.stats.ContinuousRV() method X = ContinuousRV(z, pdf)
print(P(X>0))
|
Output :
1/2