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Tomorrow's my Probability/Statistics final, and I was just going over some review questions, wherein I got stonewalled by this one:
Let X1 and X2 be independently and identically distributed with a common probability density function f(x)=(lamba)[e^(-lamba * x)] for x>0 and lamba>0. Let U = X1 + 2 * X2 and V = 2 * X1 + X2. What is the joint probability density function g(u,v) for u>0 and v>0?
I have no clue how to proceed from here, seeing as U and V look exactly identical.