**Question: Problem 3.37: **The distribution function of the random variable \(X\) is given by

\[F(x)=\left\{ \begin{align}

& 1-(1+x){{e}^{-x}}\,\text{ for }x>0 \\

& 0\text{ for }x\le 0 \\

\end{align} \right.\]

Find \(\Pr (X\le 2)\), \(\Pr (1<X<3)\) and \(P(X>4)\).

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