1. Show thatf(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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Answered: 1. Show that f(y₁, y2) = k¹ exp[− ½…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

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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].