2. Let X1, X2, ..., Xn be a random sample from a population with pdf $$f(x|\theta) = \theta x^{\theta-1} \mathbf{1}_{\{0

3. Let Xi = (Xi1, Xi2)', i = 1, ..., n, be i.i.d. bivariate normal with unknown (μ1, μ2)' = E[X1] and Var(X1). Let θ = μ2/μ1 be the parameter of interest (μ1 ≠ 0). Define Yi(θ) = Xi2 - θXi1. (a) $(5\%)$ It is known that $Y_{1}(\theta),\ldots ,Y_{n}(\theta)$ are i.i.d. with $N(K_{1},K_{2})$ . Find $K_{1}$ and $K_{2}$