sympy.stats.UniformSum() in Python

With the help of sympy.stats.UniformSum() method, we can get the continuous random variable which represents the irwin-hall distribution.

Syntax : sympy.stats.UniformSum(name, n)
Where, n is real number.

Return : Return the continuous random variable.

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

# Import sympy and UniformSum
from sympy.stats import UniformSum, density
from sympy import Symbol, pprint

z = Symbol("z")
n = Symbol("n", positive = True)

# Using sympy.stats.UniformSum() method
X = UniformSum("x", n)
gfg = density(X)(z)

pprint(gfg)

Output :

floor(z)
___
\ `
\ k n – 1 /n\
) (-1) *(-k + z) *| |
/ \k/
/__,
k = 0
——————————–
(n – 1)!

Example #2 :

# Import sympy and UniformSum
from sympy.stats import UniformSum, density
from sympy import Symbol, pprint

z = 3
n = 5

# Using sympy.stats.UniformSum() method
X = UniformSum("x", n)
gfg = density(X)(z)

pprint(gfg)

Output :

3
___
\ `
\ k 4 /5\
) (-1) *(3 – k) *| |
/ \k/
/__,
k = 0
————————
24