Friday, 17 July 2015

probability - How to find the CDF of the sum of independent uniformly distributed random variables?

X,Y are independent random variables with uniform distribution on [0,1], and let the random variable Z=X+Y.




The density of Z is:
fX+Y(z)=z0fX(x)fY(zx)dx



What is the formula for the probability P(Zm)?



Any help would be appreciated.



Sorry, I have no attempt.

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