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## Homework Statement

Suppose X has the Uniform (0,1) distribution. Find the median of the distribution of e^X correct to 2 decimals.

## Homework Equations

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

Thanks

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