Let X and Y have joint density
![](https://test.transtutors.com/qimg/d840c54c-9ebd-4fea-bc80-5f07a65e7c4a.png)
(a) By examining the joint density function can you guess the conditional density of X given Y = y? (Treat y as a constant.) Confirm your guess.
(b) Similarly, first conjecture about the conditional distribution of Y given X = x. Find the conditional density.
(c) Find P(X)