Consider the Laplacian Distribution whose PDF is Given by:
$$ f_X(x)=\frac{1}{2}\,e^{-|x|}\,\, {-\infty}<x<{\infty} $$
If Random Variable $Y$ is Defined as
$$ Y=|X|+|X-3| $$, Find
$$ Pr(Y\geq 3) $$
$$ f_X(x)=\frac{1}{2}\,e^{-|x|}\,\, {-\infty}<x<{\infty} $$
If Random Variable $Y$ is Defined as
$$ Y=|X|+|X-3| $$, Find
$$ Pr(Y\geq 3) $$
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