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Consider a single random variable x ~ Beta(a, B), where the Beta(a, B) distribution is defined to be T(a + B) Beta(x; a, B) =

Consider a single random variable x ~ Beta(a, B), where the Beta(a, B) distribution is defined to be T(a + B) Beta(x; a, B) = xa-1(1 - x)B-1 r(a)r (B) for x E (0,1) Show that (x, 1 - x) follows a Dirichlet distribution Dir(a1, a2). What is a, and az

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