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April 25th, 2017, 12:10 PM  #1 
Member Joined: Apr 2017 From: PA Posts: 45 Thanks: 0  Finding the CDF
Let U, V be random numbers chosen independently from the interval [0,1] with uniform distribution. Find the cumulative distribution and density of each of the variables (a) Y = U + V . Attempt; I first tried to think of a reasonable CDF which was F(x)=2yy^2, and I thought a good interval it should be on is [0,1], that way I can get the interval [0,1] from the CDF. However, the answer in the book said the CDF was (a) F(y)=(y^2/2, [1,2]; 1(2y)^2/2, [1,2],) How are they getting this CDF? 
April 25th, 2017, 07:11 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,378 Thanks: 542  
April 26th, 2017, 08:13 AM  #3 
Member Joined: Apr 2017 From: PA Posts: 45 Thanks: 0 
Thank u for ur a advice!


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