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

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# Homework Help: Uniform distribution transform: e^2x

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