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Let X be a binomial random variable with parameters n and

Chapter 4, Problem 10TE

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QUESTION:

Let X be a binomial random variable with parameters n and p. Show that

               \(E\left[\frac{1}{X+1}\right]=\frac{1-(1-p)^{n+1}}{(n+1) p}\)

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QUESTION:

Let X be a binomial random variable with parameters n and p. Show that

               \(E\left[\frac{1}{X+1}\right]=\frac{1-(1-p)^{n+1}}{(n+1) p}\)

ANSWER:

Step 1 of 3

Let  be a binomial random variable with parameters  show that

If  is a binomial random variable with parameters  then we can write,

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