9 Suppose That X And Y Are Two Continuous Random Variables With The Following Joint Pdf F X Y 6 1 2 Y If 0 1 (37.08 KiB) Viewed 22 times
9. Suppose that X and Y are two continuous random variables with the following joint pdf: — f(x, y) (6(1 – 2 – y) if 0 < x, y < 1 and x +y = 1 otherwise 0 (a) (5 points) Find the marginal pdf's fx(x) and fy(y).
(b) (8 points) Find P(X2 +Y? = ). (Hint: Sketching the area of this probability onto the support of X and Y will make setting up the integral easier to do.)
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