My Math Forum Finding the CDF

 April 25th, 2017, 11:10 AM #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)=2y-y^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-(2-y)^2/2, [1,2],) How are they getting this CDF?
 April 25th, 2017, 06:11 PM #2 Global Moderator   Joined: May 2007 Posts: 6,527 Thanks: 588 http://www.dartmouth.edu/%7Echance/t...k/Chapter7.pdf see above - page 292 Thanks from poopeyey2
 April 26th, 2017, 07:13 AM #3 Member   Joined: Apr 2017 From: PA Posts: 45 Thanks: 0 Thank u for ur a advice!

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