sympy.stats.QuadraticU() in python

With the help of sympy.stats.QuadraticU() method, we can get the continuous random variable which represents the U-Quadratic distribution.

Syntax : sympy.stats.QuadraticU(name, a, b)
Where, a and b are real number and a, b > 0.
Return : Return the continuous random variable.

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

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

z = Symbol("z")
a = Symbol("a", positive = True)
b = Symbol("b", positive = True)

# Using sympy.stats.QuadraticU() method
X = QuadraticU("x", a, b)
gfg = density(X)(z)

pprint(gfg)

Output :

/ 2
| / a b \
|12*|- – – – + z|
| \ 2 2 /
= z, a <= z)
| 3
| (-a + b)
|
\ 0 otherwise

Example #2 :

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

z = 1.5
a = 4
b = 6

# Using sympy.stats.QuadraticU() method
X = QuadraticU("x", a, b)
gfg = density(X)(z)

pprint(gfg)

Output :

0