Sign up ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

If $X \sim U(0,a)$, what's the pdf of $e^{2X}$ ? Is it also $U(0,a)$ ? Or perhaps one has to integrate $e^{2X}$ to get a normalizing constant?

share|cite|improve this question
Why was this downvoted? The language is loose but can be cleaned up. – Ron Gordon Jan 15 '13 at 22:59
For $ t > 0 $ , $$P( \exp 2X \leq t ) = P( X \leq \frac{\ln t}{2} ) $$ – ACARCHAU Jan 15 '13 at 23:31
hint: $P(Y\leq y)=P(e^{2X}\leq y)=P(X \leq \frac{\ln y}{2})$ – jay-sun Jan 15 '13 at 23:34
"Is it also $U(0,a)$?" Have you tried working out what values $e^{2X}$ can take on? What value of $X$ will give you $Y = e^{2X} = 0.1$, say? – Dilip Sarwate Jan 16 '13 at 2:07
@rlgordonma My downvote (it is not the only one) is because the OP seems not to have put in any effort into even thinking about the question before posting it. – Dilip Sarwate Jan 16 '13 at 2:09

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.