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Estimation : Binomial DistributionSuppose T is a random variable such that
P(T=k) = (k-1)C(r-1) * p^r * (1-p)^(k-r) (It is a negative binomial distribution.).
I am trying to find the expected value E(r/T) (which is equal to r * E(1/T))
By (k-1)C(r-1) I mean (k-1)!/[(r-1)!*(k-r)!].
Use decision tree diagram to solve the problem.
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