6.6. Gaussian random vector. Given a Gaussian random vector X - N(u, E), where μ = (152) and (a) Find the pdfs of i.X₁, 1 1 Σ= 1 4 0 009 P ii.X₂ + X3, iii.2X₁ + X₂ + X3, iv.X3 given (X₁, X₂), and v.(X₂, X3) given X₁. (b) What is P{2X₁ + X₂ X3 < 0}? Express your answer using the Q function. (c) Find the joint pdf on Y = AX, where A = Problems 13 2