[Steps Shown] The following is a density function: f(x)= 1/3 2≤ x≤ 5 , 0 otherwise , Compute Pr (2≤ X≤ 5) Pr (3≤ X≤ 4) Pr (X≥


Question: The following is a density function:

\[f\left( x \right)=\left\{ \begin{aligned} & \frac{1}{3}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,2\le x\le 5 \\ & 0\text{ otherwise} \\ \end{aligned} \right.\]

Compute

  1. \(\Pr \left( 2\le X\le 5 \right)\)
  2. \(\Pr \left( 3\le X\le 4 \right)\)
  3. \(\Pr \left( X\ge 4 \right)\)

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