Question

Suppose that random variable

Answer 1

The density function is just the piecewise function,

$f_X(x)=\begin{cases}\dfrac1{22-5}=\dfrac1{17}&\text{for }5\le x\le22\\0&\text{otherwise}\end{cases}$

i.e. a rectangle of height $\dfrac1{17}$ and length 17 plotted over the interval $[5,22]$. Any probabilities that you need to find are then areas of smaller rectangles.