MediumStatisticsst-387

Beta Density at Point

Problem

The beta pdf is x^(a - 1) (1 - x)^(b - 1) / B(a, b) with B(a, b) = Gamma(a) Gamma(b) / Gamma(a + b).

Given x in (0, 1), a, and b, return the density using math.gamma.

Hint

The normalizing constant is the beta function.

case 1

in: [0.5,2,2]

expected: 1.5

case 2

in: [0.25,1,1]

expected: 1

case 3

in: [0.8,5,2]

expected: 2.4576

Starter codePython

def beta_pdf_value(x, a, b):
    # Your code here
    pass

3 test cases · run your code against them in the editor