Random variables X and Y have a joint PMF described by the following table.
![](https://test.transtutors.com/qimg/85261979-b9cd-4718-b11d-43958a73f4eb.png)
(a) Are X and Y independent?
(b) In fact, the experiment from which X and Y are derived is performed sequentially. First, X is found, then Y is found. In this context, label the conditional branch probabilities of the following tree:
![](https://test.transtutors.com/qimg/e2c73310-7fc3-4d10-b378-d667a394aa2e.png)