Conditional Distribution Problem

May 2010
6
0
Hi all, given that I have the following distributions:



Which can be written as follows:



and

, where Xs ~ Negative binonmial (s,p)

Now, I am asked the following:



I don't quite know about how to tackle this problem. I know what a conditional distribution is, but don't know how to apply it here, so please guide me accordingly.

Finally, I am asked the following:



I sincerely request help for the above two questions. My concepts are a little weak here, so if I could be guided through the steps/answers for the above, I would be grateful. Thanks ever so much in advance.