Math Solutions

[Solution] Let X be continuous random variable with the following density f(x)= Cx^2

Question: Let X be continuous random variable with the following density

\[f\left( x \right)=\left\{ \begin{aligned} & C{{x}^{2}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0
  • Find C
  • Compute the cumulative function
  • Compute \(\Pr \left( X<1.5 \right),\Pr \left( X>1 \right),\Pr \left( 1

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