1. The problem asks for the probability that a random variable $x$ is greater than 2 but less than 4, i.e., $2 < x < 4$. 2. To find this probability, we need to know the probability distribution of $x$ (e.g., uniform, normal) or its probability density function (PDF). 3. Without the distribution or PDF, we cannot calculate the exact probability. 4. If $x$ is uniformly distributed over an interval $[a,b]$ that includes 2 and 4, then the probability is the length of the interval $(2,4)$ divided by the total length $(b - a)$: $$P(2 < x < 4) = \frac{4 - 2}{b - a} = \frac{2}{b - a}$$ 5. If you provide the distribution or range of $x$, I can help compute the exact probability.