# Distribution of the sum of two ind. uniform random variables.

• Feb 4th 2009, 05:32 PM
kman320
Distribution of the sum of two ind. uniform random variables.
Hello everyone. I have worked out a problem and now I am stuck. Basically I have Z = (X+Y)/2 where X,Y are iid and ~U(c-.5,c+.5) where c is some constant. I need to find the distribution of Z. How do I go about this. I tried a change of variable but am having trouble figuring out the support of Z.
Any help is greatly appreciated. Thanks
• Feb 4th 2009, 06:22 PM
mr fantastic
Quote:

Originally Posted by kman320
Hello everyone. I have worked out a problem and now I am stuck. Basically I have Z = (X+Y)/2 where X,Y are iid and ~U(c-.5,c+.5) where c is some constant. I need to find the distribution of Z. How do I go about this. I tried a change of variable but am having trouble figuring out the support of Z.
Any help is greatly appreciated. Thanks

Read this for one possible approach (pp 7 --> ).
• Feb 5th 2009, 07:03 AM
kman320
Im sorry mr fantastic, I dont understand. Are you refering me to page 7 of the forum? Can you post the link to the said site you want me to go to?
• Feb 5th 2009, 12:04 PM
The Second Solution
Quote:

Originally Posted by kman320
Im sorry mr fantastic, I dont understand. Are you refering me to page 7 of the forum? Can you post the link to the said site you want me to go to?

Try this one http://www.dartmouth.edu/~chance/tea...k/Chapter7.pdf
• Feb 5th 2009, 04:30 PM
kman320
Thanks for the help guys. I'll let you know what I come up with. (I know the answer, but just want to derive it by myself).