Recall the random variables of given Exercise that are uniformly distributed over the region ![](https://test.transtutors.com/qimg/46cefc20-1df5-4aa4-acfb-32d7b70a91c9.png)
(a) Find the conditional PDFs ![](https://test.transtutors.com/qimg/cc5b52ce-c6dc-4217-9837-1061c80e1197.png)
(b) Find the conditional CDFs![](https://test.transtutors.com/qimg/cc5b52ce-c6dc-4217-9837-1061c80e1197.png)
(c) Find
Exercise
A pair of random variables, (X,Y) , is equally likely to fall anywhere within the region defined by ![](https://test.transtutors.com/qimg/b346d495-14a5-4e6a-a662-ca53151a268c.png)
(a) Write the form of the joint PDF, ![](https://test.transtutors.com/qimg/396c69bf-e806-499c-be73-4a908cb8eb85.png)
(b) Find the marginal PDFs ![](https://test.transtutors.com/qimg/6e020571-b360-44ee-98e3-fa3becfda4cc.png)
(c) Find ![](https://test.transtutors.com/qimg/ee3dcc68-2bdc-4643-8e36-1e7cea9e8052.png)
(d) Find
independent?