Find the median of the random variable with the probability density function given below. (Round your answer to four decimal places.) f(x) = 1/x on [1, e]
I do know that I am going to somehow use 1/2 but that is about it.
So for this problem I am not exactly sure where to start. We have had examples in our notes of finding the median but not with an equation like this one. I previously worked out a problem involving this on this website but I cannot figure out how to do this one. If someone could explain to me how to get to the answer it would be greatly appreciated. I know that I have to take the integral at some point but that is about it.
Solve: $$\int_1^x \frac1t~dt=\frac12$$