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# Combinatorics and/or Statistics

Maths and statistics discussion, revision, exam and homework help.

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1. Combinatorics and/or Statistics
There are N fish in a lake, of which an unknown number Q are diseased. The prior distribution of Q is discrete uniform on {0,1,...,N}. Let R denote the number of diseased fish in a random sample of n fish

Show that
where

^^(I've done this bit)

Find the posterior expectation of Q given R=r.

I've tried to do this last bit via some kind of complicated combinatorics but can't get anywhere - I feel I'm missing some simple trick but can't think what. Any help would be much appreciated!
Last edited by thatguyoverthere; 18-01-2012 at 17:42. Reason: Did the question.
2. Re: Combinatorics and/or Statistics
Never mind, did it using generating functions and differentiation.

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Last updated: January 18, 2012
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