sympy.stats.FDistribution() in python

With the help of sympy.stats.FDistribution() method, we can get the continuous random variable representing the F distribution.

Syntax : sympy.stats.FDistribution(name, d1, d2)
Where, d1 and d2 denotes the degree of freedom.
Return : Return continuous random variable.

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

# Import sympy and FDistribution
from sympy.stats import FDistribution, density
from sympy import Symbol

d1 = Symbol("d1", integer = True, positive = True)
d2 = Symbol("d2", integer = True, positive = True)
z = Symbol("z")

# Using sympy.stats.FDistribution() method
X = FDistribution("x", d1, d2)
gfg = density(X)(z)

pprint(gfg)

Output :

d2
— ______________________________
2 / d1 -d1 – d2
d2 *\/ (d1*z) *(d1*z + d2)
————————————–
/d1 d2\
z*B|–, –|
\2 2 /

Example #2 :

# Import sympy and FDistribution
from sympy.stats import FDistribution, density
from sympy import Symbol

d1 = 5
d2 = 6
z = 1

# Using sympy.stats.FDistribution() method
X = FDistribution("x", d1, d2)
gfg = density(X)(z)

pprint(gfg)

Output :

____
5400*\/ 55
—————–
1771561*B(5/2, 3)