- #1

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- TL;DR Summary
- Transforming a trimodal probability density function with support [0;3*Pi] to a trimodal probability density function with support [(3/2)*Pi;(15/2)*Pi] .

I have the following probability density function (in Maple notation):

f (x) = (1 / ((3/2) * Pi)) * (sin (x)) ** 2 with support [0; 3 * Pi]

Now I want to transform x so that

0 -> (3/2) * Pi

and

3 * Pi -> (15/2) * Pi

and the new function is still a probability density function.

How should I do that transformation?

f (x) = (1 / ((3/2) * Pi)) * (sin (x)) ** 2 with support [0; 3 * Pi]

Now I want to transform x so that

0 -> (3/2) * Pi

and

3 * Pi -> (15/2) * Pi

and the new function is still a probability density function.

How should I do that transformation?