Question: Let X and Y be two jointly continuous random variables with joint PDF a. Find the marginal PDFs, f X (x) and f Y (y).

Let X and Y be two jointly continuous random variables with joint PDFfxy (x, y) = 0 x + y -1 x 1,0 y 2 otherwise

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

b. Find P(X > 0,Y

c. Find P(X > 0 or Y

d. Find P(X > 0|Y

e. Find P(X + Y > 0).

fxy (x, y) = 0 x + y -1 x 1,0 y 2 otherwise

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