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help solve plz:) EXPECTED VALUE OF A LINEAR COMBINATION OF RANDOM VARIABLES x AND y E(ax + by) = aE(x) + bE(y) (5.8) VARIANCE OF

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EXPECTED VALUE OF A LINEAR COMBINATION OF RANDOM VARIABLES x AND y E(ax + by) = aE(x) + bE(y) (5.8) VARIANCE OF A LINEAR COMBINATION OF TWO RANDOM VARIABLES Var (ax + by) = a2Var (x) + b2Var(y)+ 2aboxy (5.9) where o, is the covariance of x and y.Question 1 5 pts Consider the following joint probability distribution: High effort: Y=1 Low effort: Y=0 High wage: X=1 0.25 0.25 Low wage: X=0 0.25 0.25 Define Z=8Y-6X as the firm profits. Compute the coefficient of variation of Z (in %) Use the maximum number of decimals in all your intermediate computations. Important information to answer this question (also contained in slide 51 and textbook: equations (5.8) and (5.9)): The expected value of a linear combination of random variables is given by: E(aX+bY) = aE(X) + bE(Y), where a and b are constants. The variance of a linear combination of random variables is given by V(aX+bY) = a2V(X) + b2v(Y) + 2abCOV(X,Y) (Enter your answer in % using only integer numbers. For example, if your answer is "800 %", you would write 800). Do not round

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