Question: A random variable X is said to have a beta distribution with parameters a and if and only if the density function of X

A random variable X is said to have a beta distribution with parameters a and β if and only if the density function of X is
a.ß > 0; 0<r<1 otherwise, f(x) = Β (α. β) 0, where B(x. B) = C-(1-x)-'dx. B-1

(a) Show that

A random variable X is said to have a beta

(b) Show that

A random variable X is said to have a beta

a. > 0; 0

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