2. (a) Let the random variables X and Y have the joint distribution x <0 or y < 0 (x+e-(x+1)y² x+1 -- e-x²), 0≤x < 4 (1

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2 A Let The Random Variables X And Y Have The Joint Distribution X 0 Or Y 0 X E X 1 Y X 1 E X 0 X 4 1 1 (21.97 KiB) Viewed 34 times

2. (a) Let the random variables X and Y have the joint distribution x <0 or y < 0 (x+e-(x+1)y² x+1 -- e-x²), 0≤x < 4 (1 + ¹²e-5y² - e-v², 4 ≤ x and any y 20 Fxy(x, y) = (i) Find the marginal distributions Fx (x) and Fy (y). (ii) Compute the joint probability P(3 < X ≤ 5,1 <Y ≤ 2). (iii) Compute the conditional probability P(3 < X < 51 < Y ≤2)