X follows U[0,1]

Y follows discrete uniform {0,1,..,n-1}

Z=X+Y.

distribution of Z?

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- June 10th 2010, 02:24 AMDootiFind distribution function of a mixed variable
X follows U[0,1]

Y follows discrete uniform {0,1,..,n-1}

Z=X+Y.

distribution of Z? - June 10th 2010, 04:37 AMMoo
Are they independent ?

If so, let k be an positive integer. Consider a z in . Let z=x+y, where x is the decimal part of z, and y its integer part.

So the probability that Z is in [k,k+1)=1/n (letting x=1)

So

This is the cdf of a uniform distribution over