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VI. SUM OF RANDOM VARIABLES X and Y are jointly uniform in the triangular region. 10 VI. SUM OF RANDOM VARIABLES X and Y are

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VI. SUM OF RANDOM VARIABLES X and Y are jointly uniform in the triangular region. 10

VI. SUM OF RANDOM VARIABLES X and Y are jointly uniform in the triangular region. (a) Find the PDF of Z = X + Y. (b) Find E[X], E[Y] and E[XY]. (c) Find the covariance between X and Y. VI. SUM OF RANDOM VARIABLES X and Y are jointly uniform in the triangular region. (a) Find the PDF of Z = X + Y. (b) Find E[X], E[Y] and E[XY]. (c) Find the covariance between X and Y.

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