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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, fx,y(x,y).
(b) Find the marginal PDFs fx(x) and fy(y).
(c) Find Pr(X>1/2) and Pr(Y<1/2)
(d) Find Pr(Y<1/2 | X>1/2). Are the events {X>1/2} and {Y<1/2} independent?
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