Do you have an orginal distribution?
I can tranform any rv via 1/x, if I know what distributon we are starting with.
In other words.
Give me the density of X and I will give you the density of Y=1/X.
These question seemed simple to me, however I believe I am getting confused between distribution functions and densities.
Question
Find the distribution function, and hence the density, of (1/x)
Any help would be great. The reason why im confused is because i thought 1/x was already a density, so why would it need to be found?
Thanks
OK, here is the complete question:-
X has density x/2 over 0 < x < 2, and 0 elsewhere. Sketch its density and distribution function. Find the distribution function, and hence the density, of X/2, e^X, 1/X, and |X - 1|.
So all I know is that it has something to do with random variables. Please dont explain all of them as that is time consuming, if you can do one then Im sure I can work out the rest with the same technique.