Probability distribution for estimated parameter Y

Summary statistics for the probability distribution
In general, if an experiment resulted in 's' successes (e.g. number of test-positive animals) recorded in 'n' trials (e.g. number of truly infected animals), Use of a Beta(shape1, shape2) distribution with shape1 = s+1 and shape2 = n-s+1 is an appropriate choice to model the uncertainty in that parameter.