X is a uniformly distributed random variable on a [-1, 1] range. (i.e. X is U(-1, 1))(adsbygoogle = window.adsbygoogle || []).push({});

Find the distribution of e^2X:

I feel like it has something to do with the uniform's relation to exponential function,

but i get stuck.

I begin by using inverse transform:

Fy(y) = Fx[ln(y)/2]

fy(y) = fx[ln(y)/2]*[1/(2y)]

fy(y) = 1/(4y)

please help

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Uniform distribution transform: e^2x

**Physics Forums | Science Articles, Homework Help, Discussion**