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June 7th, 2013, 09:14 AM  #1 
Senior Member Joined: Jul 2012 Posts: 225 Thanks: 0  What am I doing wrong? simple probability
Here's the question: X and Y are discrete random variables that get values from 1 to N with equal probability. In other words, X and Y have a uniform distribution with values between 1 and N. We defined another discrete random variable Z. Z=XY. Find the probability function of Z. My answer is incorrect, but I don't know why and I'd like an explanation. Here is my answer: Z can get these values: We can see that there are Nk events that yield XY=k, out of overall possible events. This gives us that But that is an incorrect answer. Why? 
June 7th, 2013, 01:11 PM  #2  
Global Moderator Joined: May 2007 Posts: 6,787 Thanks: 708  Re: What am I doing wrong? simple probability Quote:
Should be  

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