Disintegration of proton in water atom (task)

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Little task :
The great unification theory says that there is a very little
probability that the proton will disintegrate for meson pi0 and
positron (e+) .
In one of the experiments ,checking this theory, there were 3300
tons of water obserwed using very sensible gear , the gear can
manage to detect even single case of disintegration . During one year
of obserwations there weren't noticed any cases of disintegration.
Questions :
1- What limitation for half-life period is implicated by this
obserwations ?
2- In which value of half-life period ,in one year of obserwations ,
would be obserwed at least one case of disintegration with 95%
probability ?
Good luck !
 
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