$$f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } e ^ { - x / 2 } & \text { if } x \geq 0 \\0 & \text { if } x < 0\end{array} \right.$$

$$f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } e ^ { - x / 2 } & \text { if } x \geq 0 \\0 & \text { if } x < 0\end{array} \right.$$ is a probability density function for a particular random variableX $P ( X \geq 4 )$ . Use integration to find

A) $e ^ { - 2 } - 1$
B) $e ^ { 2 }$
C) $e ^ { - 2 }$
D) $1 + e ^ { 2 }$

Correct Answer:

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