sympy.stats.Trapezoidal() in Python

With the help of sympy.stats.Trapezoidal() method, we can get the continuous random variable which represents the Trapezoidal distribution by using this method.

Syntax : sympy.stats.Trapezoidal(name, a, b, c, d)
Where, a, b, c and d are real number.
Return : Return the continuous random variable.

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

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

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

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

pprint(gfg)

Output :

/ -2*a + 2*z
|————————- for And(a z)
|(-a + b)*(-a – b + c + d)
|
| 2
| ————– for And(b z)
= z, c <= z)
|(-c + d)*(-a – b + c + d)
|
\ 0 otherwise

Example #2 :

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

z = 0.43
a = 2
b = 4
c = 5
d = 8

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

pprint(gfg)

Output :

0