Mathematics Homework Solutions
Problem
#9053

Estimation : Binomial Distribution

Suppose 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)!].


Solution Summary

The expected value is calculated.

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