sympy.stats.Poisson() in Python

With the help of sympy.stats.Poisson() method, we can get the random variable representing the poisson distribution.

Syntax : sympy.stats.Poisson(name, lambda)
Return : Return the random variable.

Example #1 :
In this example we can see that by using sympy.stats.Poisson() method, we are able to get the random variable representing poisson distribution by using this method.

# Import sympy and poisson
from sympy.stats import Poisson, density, E, variance
from sympy import Symbol, simplify

# Using sympy.stats.Poisson() method
rate = Symbol("lambda", positive = True)
X = Poisson("x", rate)
gfg = density(X)(4)

print(gfg)

Output :

lambda**4*exp(-lambda)/24

Example #2 :

# Import sympy and poisson
from sympy.stats import Poisson, density, E, variance
from sympy import Symbol, simplify

# Using sympy.stats.Poisson() method
rate = Symbol("lambda", positive = True)
X = Poisson("x", rate)
gfg = density(X)(6)

print(gfg)

Output :

lambda**6*exp(-lambda)/720