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


Question: The following is a density function:

\[f\left( x \right)=\left\{ \begin{aligned} & \frac{3}{{{x}^{4}}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x\ge 1 \\ & 0\text{ }x<1 \\ \end{aligned} \right.\]

Compute

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

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