2 A Let The Random Variables X And Y Have The Joint Distribution 0 X 0 Or Y 0 0 X 4 X E X 1 Y X 1 Fxy X Y 1 (25.15 KiB) Viewed 6 times
2 A Let The Random Variables X And Y Have The Joint Distribution 0 X 0 Or Y 0 0 X 4 X E X 1 Y X 1 Fxy X Y 2 (25.15 KiB) Viewed 6 times
2. (a) Let the random variables X and Y have the joint distribution 0, x <0 or y < 0 0<x<4 x+e-(x+1)y² x+1 Fxy(x, y) = (x+ (1+e-5²-²-², 4 ≤ x and any y 20 (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) -e (b) Let X and Y be independent and identically distributed random variables with mean and variance o². Find the following: (1) E[(X-Y)²] (ii) E[(X+Y)²] (iii) Cov((X+Y). (X-Y))
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