9. Suppose that X and Y are two continuous random variables with the following joint pdf: S6(1 – – y) if 0 < 2,9 <1 and

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9 Suppose That X And Y Are Two Continuous Random Variables With The Following Joint Pdf S6 1 Y If 0 2 9 1 And 1 (54.32 KiB) Viewed 21 times

9. Suppose that X and Y are two continuous random variables with the following joint pdf: S6(1 – – y) if 0 < 2,9 <1 and 2+y<1 f(x, y) = otherwise { 0 (a) (5 points) Find the marginal pdf's fx(2) and fy(y). (b) (8 points) Find P(X2 +Y? < 1). (Hint: Sketching the area of this probability onto the support of X and Y will make setting up the integral easier to do.)