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Night Math Puzzler

Let Y be a Poisson random variable with mean µ > 0 and let Z be a geometrically distributed
random variable with parameter p with 0 < p < 1. Assume Y and Z are independent.

Find P[Y = i|Y < Z] for i >= 0.
 
This was an extra credit problem. I just left it blank.
Please do post the answer or pm me so I can finally know what the hell is going on.
 
Originally posted by: UncleWai
This was an extra credit problem. I just left it blank.
Please do post the answer or pm me so I can finally know what the hell is going on.

This isn't for a course of mine.
 
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