Q35Comprehension2 Marks4 Aug 2024PassageSuppose XXX and YYY are uniformly distributed over the shaded region DDD shown in Figure 1.Which option(s) are true?AfX(x)={2/9, 1<x≤2; 4/9, 2<x≤3; 3/9, 3<x≤4; 0 otherwise}f_X(x)=\{2/9,\ 1<x\le2;\ 4/9,\ 2<x\le3;\ 3/9,\ 3<x\le4;\ 0\text{ otherwise}\}fX(x)={2/9, 1<x≤2; 4/9, 2<x≤3; 3/9, 3<x≤4; 0 otherwise}BfX(x)={1/9, 1<x≤2; 2/9, 2<x≤3; 3/9, 3<x≤4; 2/9, 4<x≤5; 1/9, 5<x≤6; 0 otherwise}f_X(x)=\{1/9,\ 1<x\le2;\ 2/9,\ 2<x\le3;\ 3/9,\ 3<x\le4;\ 2/9,\ 4<x\le5;\ 1/9,\ 5<x\le6;\ 0\text{ otherwise}\}fX(x)={1/9, 1<x≤2; 2/9, 2<x≤3; 3/9, 3<x≤4; 2/9, 4<x≤5; 1/9, 5<x≤6; 0 otherwise}C(X∣Y=a)∼Uniform[1,6](X\mid Y=a)\sim\mathrm{Uniform}[1,6](X∣Y=a)∼Uniform[1,6] for 1<a<21<a<21<a<2D(X∣Y=a)∼Uniform[1,6](X\mid Y=a)\sim\mathrm{Uniform}[1,6](X∣Y=a)∼Uniform[1,6] for 3<a<43<a<43<a<4
