2. [10 marks] Let Xı ~ Gamma(k, 1), X2X1 = li ~ Gamma(m, x1). (a) [5...

Question

Question

2. [10 marks] Let Xı ~ Gamma(k, 1), X2X1 = li ~ Gamma(m, x1). (a) [5 marks] Find the marginal pdf of X2. (b) [5 marks] Show t

Answer 1

Answer #1

Pq lor 0 Answert XinGamma (k,x), X2|X, =Xin Gamma (m, xi). ③ we consider the marginal pdf of Xq. fke) = f f (x1, x 2) dx, - S

Answer 2

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