The solid curve represents an assumed prior probability density forx, given within a normalizing constant by f(x) =x3(1-x)3 . The prior probability that the mRNA concentration y is at least 4 times z is represented by the area beneath this curve and to the right of the vertical line atx=0.8, or about 3.3%. Assume that 25 tags corresponding to the mRNA in question are then sequenced from theY cells, and two tags from the Z cells, in an experiment in which the same total number of tags are sequenced from each of the two cell types. The posterior probability density forx is then proportional to g(x) =x28(1-x)5 , represented by the dotted curve. The posterior probability that x ≥0.8 is approximately 70.0%.
