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column totals 0.20 0.70 0.10 1 y 15 16 fY(y) 0.60 0.40 Because the the probability mass functions for X and Y appear in the margins of the table (i.e. column and row totals), they are often re-ferred to as the Marginal Distributions for Xand Y. When there are two random variables of inter-

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n=1 X∞ m=1 B mn sin mπ a x sin nπ b y and the second is g(x,y) = u t(x,y,0) = X∞ n=1 X∞ m=1 λ mnB ∗ sin mπ a x sin nπ b y. These are examples of double Fourier series. Daileda The 2D wave equation

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