Multivariate Hypergeometric Distribution

rogo0034

1. The problem statement, all variables and given/known data


I worked out A) just fine it seems (given the answer in the book), but B) i'm not sure how to take this out. Below was a try but i'm not sure i was even on the right track. Any ideas?

2. Relevant equations



3. The attempt at a solution

rogo0034

Anyone have any ideas here?

rogo0034

really, with over 400 views? no know can tackle this? Even Reddit at least took a shot at it. come on boys! lol, anything to get me started thinking right about this would help!

Ray Vickson

In (b) you seem to have forgotten the cases (2,2,0,0), (0,2,0,2) and (2,0,0 2). Otherwise the basics are OK (but please in future try to attach more readable files: yours is incomprehensible on my laptop and on my i-phone; it shows up only on my desktop machine.)

RGV

rogo0034

"All nationalities but Italian are represented" So those three do not comply. It must have a zero for the third space, and contain at least one from each of the others, and must equal 4.

rogo0034

ok, I answered my own question. the last two i added in would not work due to the criteria. so i guess you helped, thanks RGV. I'll try and find a better format to post these in.

Ray Vickson

Sorry, I mis-read question (b). Your original solution is correct, and did not leave anything out (as I had erroneously suggested).

RGV

rogo0034

Thanks for looking at it regardless!! This site has helped me so much, I appreciate anyone's input!