3.6 Let X be a random variable with a Beta distribution with parameters a, b. f(x) = (a + b) (a)(b) xa1(1 x) b1,

3.6 Let X be a random variable with a Beta distribution with parameters

a, b.

f(x) = Γ(a + b)

Γ(a)Γ(b)

xa−1(1 − x)

b−1, where 0

To test, use parameters a = 2, b = 3, and approximate the expected value of the Beta distribution. Compare with the theoretical value, which is a a+b = 2 5 .