$f_V(v)=\{\begin{array}{cc}1,& 0v1\\ 0& \text{o}\text{t}\text{h}\text{e}\text{r}\text{w}\text{i}\text{s}\text{e}& \end{array}$

a$.$ Determine the probability density of the random

variable $x(t)$ and plot, for

$t=0,\frac{}{4},\frac{3}{4},\frac{}{}$

b$.$ What is the probability density of $x(t)$ when $t=\frac{}{2}$