If the joint density of X and Y is given by And Z = X + Y

Question:

If the joint density of X and Y is given by

And Z = X + Y / 2 , find the probability density of Z by the distribution function technique.

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...