Let
represent an N-dimensional vector of random variables that is uniformly distributed over the region ![](https://test.transtutors.com/qimg/b8826c73-3f3c-40e8-9e87-9bb1b419c31a.png)
That is
![](https://test.transtutors.com/qimg/ffcdff04-d797-4103-8bad-4535f2d3029b.png)
(a) Find the constant c .
(b) Find the marginal PDF for a subset of of the random variables.
(c) Are the XI independent? Are the XI identically distributed?