sympy.stats.NegativeBinomial() in Python

With the help of sympy.stats.NegativeBinomial() method, we can get the random variable representing the negative binomial distribution.

Syntax : sympy.stats.NegativeBinomial(name, r, p)
Return : Return the random variable.

Example #1 :
In this example we can see that by using sympy.stats.NegativeBinomial() method, we are able to get the negative binomial distribution by using this method.

# Import sympy and Negativebinomial
from sympy.stats import NegativeBinomial, density, E, variance
from sympy import Symbol, S

r = 5
p = S.One / 5

# Using sympy.stats.NegativeBinomial() method
X = NegativeBinomial("x", r, p)
gfg = density(X)(0.5)

print(gfg)

Output :

0.360633043411166

Example #2 :

# Import sympy and Negativebinomial
from sympy.stats import NegativeBinomial, density, E, variance
from sympy import Symbol, S

r = 4
p = 0.6
z = Symbol("z")

# Using sympy.stats.NegativeBinomial() method
X = NegativeBinomial("x", r, p)
gfg = density(X)(z)

print(gfg)

Output :

0.0256*0.6**z*binomial(z + 3, z)