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Obtain closed form expression for CDF of two uniforms

Status: Closed
Prize: $70
Entries Received: 5
Winner: kohleth

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Contest Brief

Let X be a random variable uniformly distributed on [A,B] where A>0.
Let Y be a random variable uniformly distributed on [-k,k] where k>0 and A-k>0.
Assume X and Y are independent.
*** Compute the cumulative distribution function of the _SUM_ Z=X+Y: F_Z(z)=Pr[ Z < z ] as function of A,B and k and of course z. ***
The expression for the PDF (the convolution) is not required but it would help me in judging whether the solution is correct.
First correct solution wins but if the presentation is so bad that is very hard to judge whether the solution is correct, the next best wins.

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Public Clarification Board

kohleth
- 11 years ago
is this homework problem?
- 11 years ago
View 1 more message
1. TheGuyver2040
  - 11 years ago
  Use this to convert your file: http://pdf2jpg.net/
  - 11 years ago
2. kohleth
  - 11 years ago
  good idea. Thanks.
  - 11 years ago
oramy
- 11 years ago
Excuse me, I was wrong project. Please disregard the image and commentary.
- 11 years ago
1. Contest Holder
  - 11 years ago
  Oh sorry for my voting. I only saw your comment now.
  - 11 years ago
itachi23
- 11 years ago
if u do it as a fixed project i will easily do this
- 11 years ago