If X, Y, and Z are independent random variables having identical density functions f(x) = ex, 0

Question:

If X, Y, and Z are independent random variables having identical density functions f(x) = e−x, 0 < x < ∞, derive the joint of U = X + Y, V = X + Z, W = Y + Z.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...