Probability: Probabilty Distributions – #495


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

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

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