Density of continuous random variables?

[icup007]

Can you please help me find the density of the following functions?

The density of an absolutely continuous random variable X is:

fX(x) =
{ (3x^2-1)/12 if 1<x<2
{ 1/2 if 2<x<3
{ 0 elsewhere

Find the density of Y where Y = 4X-2
Find the density of M where M = (X-2)^2


Thank you!

 

[Stephen Tashi]

You should post questions like this in the Homework section "Calculus and Beyond" https://www.physicsforums.com/forumdisplay.php?f=156 and include a description of your attempts to solve the problem.