Suppose that X, Y, and Z are nonnegative random variables such that Pr(X Y Z 1 3) 1 Show that X, Y, and Z cannot possibly have a joint distribution under which each of their marginal distributions is the uniform distribution on the interval 0, 1 ...

If X Y and Z each had the r ...

Suppose that X, Y, and Z are nonnegative random variables such that Pr(X + Y + Z

Question:

Suppose that X, Y, and Z are nonnegative random variables such that Pr(X + Y + Z ≤ 1.3) = 1. Show that X, Y, and Z cannot possibly have a joint under which each of their marginal distributions is the uniform on the interval [0, 1].
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...