Homework8_solution - 8.26 Answers(c X and Y are...

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Homework 8 Not to be submitted, but the materials in this homework are covered by exam 2. Problem #1: 3.43 part (a), (b), (c) and (d) (c) Determine whether the two random variables are dependent or independent. (d) Find the E[X+Y] and Var[X+Y]. Problem #2: 8.1 Problem #3: 8.19 Problem #4:
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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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