Let the joint pdf of X and Y be 202218bt36 2023/05 [kxy, 0 073 f(x, y)...

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Let the joint pdf of X and Y be 202218bt36 2023/05 [kx²y, 0 073 f(x, y) = [2+3+5] if x² ≤ y ≤ 1 otherwise. 202218b 225861305-82 (a) Find the value of k. (b) Hence, compute P(X>Y). (c) Calculate the marginal distributions for X and Y, and check if X and Y are inde- pendent. 5/21-2022186 61305-17 212 Let the joint pdf of X and Y be 202218bt36 2023/05 [kx²y, 0 073 f(x, y) = [2+3+5] if x² ≤ y ≤ 1 otherwise. 202218b 225861305-82 (a) Find the value of k. (b) Hence, compute P(X>Y). (c) Calculate the marginal distributions for X and Y, and check if X and Y are inde- pendent. 5/21-2022186 61305-17 212

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aTo find the value of k we need to normalize the joint PDF so that it integrates to 1 over the entire domain Given the joint PDF fx y kx2y for x y 1 fx y 0 otherwise To normalize the joint PDF we need ... View the full answer