# Assignment1 - LAURIER Business & Economics Wilfrid Laurier...

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LAURIER Wilfrid Laurier University School of Business and Economics EC655 (Econometrics) Instructor: Jean Eid Assignment # 1 1 Statistics Question-1 Let X, Y, and Z be random variables with E X = μ X , E Y = μ Y , E Z = μ Z , and V ar X = σ 2 X , V ar Y = σ 2 Y , V ar Z = σ 2 Z . Furthermore let C ov X,Y = σ XY , C ov X,Z = σ XZ , C ov Y,Z = σ Y Z Let W = aX + bY + cZ , where a,b,c are constants. (a) ﬁnd the E W (b) ﬁnd the C ov aX,bY + cZ by only using the formula that C ov X,Y = E ± X - E X ²± Y - E Y ² (c) ﬁnd the V ar W by only using the following formula V ar W = E W - E W 2 Question-2 [10]Suppose E X = 2 , E Y = 3 , E Z

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## This note was uploaded on 10/16/2011 for the course ECONOMICS 655 taught by Professor Jeaneid during the Fall '11 term at Wilfred Laurier University .

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Assignment1 - LAURIER Business & Economics Wilfrid Laurier...

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