# Question #2006474: Other Probability Distributions

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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