We have a sample which comes from a binomial process with unknown probability. 
Is it possible to get the likelihood of the population is larger than a 
user-specified value (with e.g. 95% certainty) in commons-math?
For example, given we have two samples:
S1: we have 4 out of 5 successes
S2: we have 80 out of 100 successes

I would like to know the probability that the real mean is larger than 60% 
given one of the samples above. Is there an easy way to calculate it?

Thanks,

Thorsten

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