Answer
$\dfrac{1}{40}$ or, $2.5\%$
Work Step by Step
We need to solve the inequality.
$2\leq 4x \leq 3 \implies \dfrac{1}{2} \leq x \leq \dfrac{3}{4}$
The probability $P$ is the ratio of the distance between $\dfrac{1}{2}$ and $\dfrac{3}{4}$ to the total distance:
$P=\dfrac{|\dfrac{1}{2}-\dfrac{3}{4}|}{10}=\dfrac{1}{40}$ or, $2.5\%$
