Obtain closed form expression for CDF of two uniforms
- Tình trạng: Closed
- Giải thưởng: $70
- Các bài thi đã nhận: 5
- Người chiến thắng: kohleth
Tóm tắt cuộc thi
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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