Q5. Suppose that X = ξ1 + ξ2, where ξ1 ∼ N (θ, 1), ξ2 ∼ N (λθ, λ2), and ξ1 and ξ2 are in- dependent. Here, λ ≥ 1 is a given constant, and θ is a unknown parameter. (i) Calculate the moment generating function of X. (ii) Calculate E(X3). (iii) Specify the distribution of X