sympy.stats.Trapezoidal() in Python
Last Updated :
08 Jun, 2020
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.
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 )
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 :
from sympy.stats import Trapezoidal, density
from sympy import Symbol, pprint
z = 0.43
a = 2
b = 4
c = 5
d = 8
X = Trapezoidal( "x" , a, b, c, d)
gfg = density(X)(z)
pprint(gfg)
|
Output :
0
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