Write the form of the joint pdf

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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?

Reference no: EM131215183

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