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

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2 A Let The Random Variables X And Y Have The Joint Distribution 0 X 0 Or Y 0 X E X 1 Y E X 0 X 4 X 1 1 1 (18.32 KiB) Viewed 12 times

2. (a) Let the random variables X and Y have the joint distribution 0, x <0 or y < 0 (x+e-(x+1)y² --e-x²), 0≤x < 4 x+1 1 +²e-5y²-³e-y², 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)