Consider the distribution with probability density function f(x) = { 0₂0-1, 0 A, for some constant A.
(b) Let Y = X₁ X₂ and Z = X₁. Show that the joint probability density function of Y and Z is fy,z (y, z) = 0²y-¹/z, 0 (c) Given that the marginal probability density function of Y is fy (y) = { 0²y⁰-¹¹ny, 0