Q57Comprehension1 Mark6 Aug 2023PassageBased on the above data, answer the given subquestions. Let (X,Y)∼Uniform(D)(X,Y)\sim \text{Uniform}(D)(X,Y)∼Uniform(D), where D=[1,2]×[1,3]D=[1,2]\times[1,3]D=[1,2]×[1,3].Find the joint density function fXY(x,y)f_{XY}(x,y)fXY(x,y).AfXY(x,y)={2, 1<x<2, 1<y<3; 0, otherwise}f_{XY}(x,y)=\{2,\ 1<x<2,\ 1<y<3;\ 0,\ \text{otherwise}\}fXY(x,y)={2, 1<x<2, 1<y<3; 0, otherwise}BfXY(x,y)={1/2, 1<x<2, 1<y<3; 0, otherwise}f_{XY}(x,y)=\{1/2,\ 1<x<2,\ 1<y<3;\ 0,\ \text{otherwise}\}fXY(x,y)={1/2, 1<x<2, 1<y<3; 0, otherwise}CfXY(x,y)={0, 1<x<2, 1<y<3; 0, otherwise}f_{XY}(x,y)=\{0,\ 1<x<2,\ 1<y<3;\ 0,\ \text{otherwise}\}fXY(x,y)={0, 1<x<2, 1<y<3; 0, otherwise}DfXY(x,y)={1/6, 1<x<2, 1<y<3; 0, otherwise}f_{XY}(x,y)=\{1/6,\ 1<x<2,\ 1<y<3;\ 0,\ \text{otherwise}\}fXY(x,y)={1/6, 1<x<2, 1<y<3; 0, otherwise}
