Suppose the random variable $X_i$ are i.i.d and follow $Binomial(N,p)$.
Then, can we compute the following expectation?
$E\big[\frac{1}{a+X}\big]$ where $a>0$.
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It can be written in terms of the ordinary hypergeometric function, if that's any help. – Glen_b May 04 '19 at 00:47
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1possible duplicate, see https://math.stackexchange.com/questions/497976/reciprocal-of-a-binomial – dnqxt May 04 '19 at 00:56
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@dnqxt Thanks! Do I have to remove the question? – user3509199 May 04 '19 at 00:58
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Welcome. I don't know about removing the question -- perhaps someone else would answer. – dnqxt May 04 '19 at 01:01