Consider Review Exercise 3.66. There are two service lines. The random variables X and Y are the

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Consider Review Exercise 3.66. There are two service lines. The random variables X and Y are the proportion of time that line 1 and line 2 are in use respectively. The joint probability density function for (X, Y) is given by?

(a) Determine whether or not X and Y are independent.

(b) It is of interest to know something about, the proportion of Z = X 4 ? Y. the sum of the two proportions. Find E(X + Y). Also find E (XY).

(d) Find Var(X + Y).

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Probability & Statistics For Engineers & Scientists

ISBN: 9780130415295

7th Edition

Authors: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying

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Question Posted: Feb 03, 2011 03:16 AM

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Consider Review Exercise 3.66. There are two service lines. The random variables X and Y are the

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+ y), 0< r, y 1. elsewhere. S(a, y)

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a gx fx y dy 3x 1 for 0 x 1 and hy 3y 1 for 0 y 1 Since fx y ...View the full answer

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