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Random variables X and Y have following distributions: PIX = -4) = 2/3, P(X = -1) = 1/3 PſY = 2) = 1/2, P(Y = 3) = 1/2 a) (5

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P( X = - 4) = 2 / 33 P ( X = -1) = 1 Elx) = {X.PIX=21) 4 x 2/3 + +1) X // 8 El P (4=2) = 12 Ply=3) = 1/2 Elu)= { uop ly = y)b VIX) Elx 2) - (\x))? E (x2)= {x? Plx=x) (-43 × 2 / 2 + (-1) 7 1/3 32 + = 33 3 vlx ) = 11- (-3) = 2 vly) - 8 E142) - (E14) EBy m.g.f. Mx (+) = {di elit + - 2 € -ye M₂ 1+) = 3 - те Elx) my (t) = put to Mx (+) = Put = [ (x2) Elx) = - 4x ( 22 ) e 3 + +

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