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A pair of random variables, (X,Y) , is equally likely to fall anywhere within the region defined by |X| + |Y| <=1.

(a) Write the form of the joint PDF, f_x,y(x,y).

(b) Find the marginal PDFs f_x(x) and f_y(y).

(d) Find Pr(Y<1/2 | X>1/2). Are the events {X>1/2} and {Y<1/2} independent?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91971166

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