Let X1​∽χ2(m,δ) and X2​∽λ2(n) where X1​ and X2​ are independently distributed. (a) Derive the joint probability density function (pdf) of Y1​ and Y2​ where X1​=Y1​Y2​ and X2​=Y2​(1−Y1​) (b) Derive the marginal pdf of Y1​ in 3(a).