1. Show that f(y₁, y2) = k¹ exp[− ½ (2y² + y² + 2y1Y2 − 22y1 − 14y2 + 65)] is the density of a bivariate normal random vector Y = (Y₁, Y₂)'. (a) Find k. (b) Find E[Y] and Var[Y].

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