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[2.5 points] If two random variables have a joint density given by, f(x, y) = k(3x + 2y) 0 for 0 < x < 2, 0 < y < 1 elsewhere

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Qus: calculate the following information with the help of given probability density function

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Solution. for 0<x<2 ocy</ f(x, y) = two Raudon varialle lave joint dessity given ly Ke Tax +29) ofw i findk We know that SfflX 2 19 3x² fyly) = (f(x, y jdx Sklaxt 24 sex +hax42, Cox + 2xy]² & com +21244-0-0] fy(4) = 160 6 + 4y (ii) find Ely) Ely)= (g(d) And Marginal dessily * Merginal density of x is fylu) fy(n)= (f(xylly 7 +813x + 2y jely - 417x444491 ófaxxL+ L-0-07 - (3x

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