Suppose X has the Uniform (0,1) distribution. Find the median of the distribution of e^X correct to 2 decimals.
F(X) = 0.5
F(X) = ∫f(x)
The Attempt at a Solution
I am not entirely sure what to do here, I know to find the median you need to find when F(X) = 0.5. I assumed that e^X was just the cdf f(x) = e^X which makes F(x) still e^X.
So then I used e^(X) = 0.5 which gives X = ln(0.5).
However this is not correct. I am a bit confused about the first part of the question, how X being a uniform distribution would affect it.
Any help would be appreciated