Question: Let X and Y be two jointly continuous random variables with joint PDF a. Find R XY and show it in the xy plane. b.

Let X and Y be two jointly continuous random variables with joint PDFfxy(x, y) = = cxy 0 0 y x1 otherwise

a. Find RXY and show it in the x−y plane.

b. Find the constant c.

c. Find marginal PDFs, fX(x) and fY(y).

d. Find P(Y ≤ x/2).

e. Find P(Y ≤ X/4|Y ≤ X/2).

fxy(x, y) = = cxy 0 0 y x1 otherwise

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