Suppose X has binomial distribution with probability of success p over n trials, How do I show that: E[1/(1+X)] = [1-(1-p)^(n+1)]/p(n+1)?
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Originally Posted by sweetadam Suppose X has binomial distribution with probability of success p over n trials, How do I show that: E[1/(1+X)] = [1-(1-p)^(n+1)]/p(n+1)? Use the definition, like... Now you want to manipulate this so that you can use the fact that Some tips: Play with the to cancel with the Set Show me where you are stuck and I will help you proceed. To get started: So we have that, Now set j=x+1, then
Last edited by Anonymous1; April 15th 2010 at 10:14 AM.
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