Q2Comprehension2 Marks26 Oct 2025PassageBased on the above data, answer the given subquestions. Let XXX be a continuous random variable with the following PDF: fX(x)={k(1+x),0<x<1k(3−x),1≤x≤20,otherwisef_X(x)=\begin{cases}k(1+x), & 0<x<1\\k(3-x), & 1\le x\le 2\\0, & \text{otherwise}\end{cases}fX(x)=⎩⎨⎧k(1+x),k(3−x),0,0<x<11≤x≤2otherwiseFind the value of kkk.A12\frac{1}{2}21B13\frac{1}{3}31C333D222
