6) Consider independent normal variables Y1, Y2, Y3 and Y4 where µi=-3 and σ2 i=2 for i=1,2,3,4. Let U= 2Y1-5Y2+Y3-2Y4 a) Derive the MGF of U and identify the distribution of U. b) Calculate P(U>9).
Added by S. W.
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) of a random variable. The MGF of a linear combination of independent random variables is the product of the MGFs of the individual random variables, each raised to the power of its respective coefficient. The MGF of a normal random variable with mean µ and Show more…
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