I How do I find the expected value and median of a probability density function?

[khansen9]

TL;DR Summary

TL;Integral

Hey everyone, I have been struggling to find the expected value and median of f(x) = 1/2e^-x/2, for x greater than 0. I am just wondering how I do so? Thank you.

 

[ergospherical]

What are the definitions of the expectation and the median for a continuous random variable?

 

[mathman]

If f(x) is supposed to be a probability density, then it has to be normalized so its integral = 1.