sympy.stats.Arcsin() in Python

With the help of sympy.stats.Arcsin() method, we can get the random variable representing the arcsin distribution.

Syntax : sympy.stats.Arcsin(name, a, b)
where, It must hold the condition -oo < a < b < +oo.
Return : Return the random variable.

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

# Import sympy and Arcsin
from sympy.stats import Arcsin, density
from sympy import Symbol, simplify

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

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

print(gfg)

Output :

1/(pi*sqrt((-a + z)*(b – z)))

Example #2 :

# Import sympy and Arcsin
from sympy.stats import Arcsin, density
from sympy import Symbol, simplify

a = -4
b = 8
z = Symbol("z")

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

print(gfg)

Output :

1/(pi*sqrt((8 – z)*(z + 4)))