PassageLet the random variable XX represent the time in hours that a student spends studying for a short quiz. Suppose the PDF of XX is fX(x)={k(x2−x+12),0≤x≤1,0,otherwise.f_X(x)=\begin{cases}k\left(x^2-x+\dfrac{1}{2}\right),&0\le x\le 1,\\0,&\text{otherwise.}\end{cases} Based on the above data, answer the given subquestions.