GATE IN 2024 | Question: 55

Question

A random variable $X$ has a probability density function
\[
f_{X}(x)=\left\{\begin{array}{cc}
e^{-x}, & x \geq 0 \\
0, & \text { otherwise }
\end{array}\right.
\]

The probability of $X>2$ is (rounded off to three decimal places).