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Unformatted text preview: 8.26 Answers (c) X and Y are independent. (d) The marginal PDF of X is ( 29 < < = elsewhere x x x f X 1 2 It is easy to show that E(X) = 2/3 and Var(X) = 1/18. Similarly E(Y) = 2/3 and Var(Y) = 1/18. E[X+Y] = E(X) + E(Y) = 4/3, Var[X+Y] = Var(X) + Var(Y)= 1/9...
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 Spring '11
 Qiu
 var, probability density function, Randomness

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