Hi, I need to find the following probability problem:

if the distributions of n indepednet random variables Y1,Y2,...Yn are given,
ie.
P(Yi=yi) is known for i=1..n;

I need to find the following probability:
P(Y1+Y2+...+Yn = M)=?

First I use n cycles, but the time comsumptio is too high. could you plz
give me some tips on any fast algorithm to compute the probability?

thx in advance.

--
ZHANG Yan


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