# Probability: Probabilty Distributions – #495

Question: $$f(x)$$ is a probability density function given by the formula below. Find the probability $$\Pr \left( 1\le X\le 3 \right)$$

f(x)=\left\{ \begin{align} & \text{ }\frac{2}{25}\left( 5-x \right)\text{ if }0\le x\le 5 \\ & \\ & \text{ }0\text{ otherwise} \\ \end{align} \right.