For related work on answering the first question, using Bayesian approach, see unpublished preprint by Warren et al. titled ''The Digital Array Response Curve'' dated March 2007 at http:// thebigone.stanford.edu/papers.htm. Warren et al. assumed a uniform probability distribution of number of molecules, with maximum number assumed to be 4000, and using Bayesian and combinatorial methods, presented a solution. The confidence interval obtained using Bayesian probabilistic framework, is often referred to as credible interval or Bayesian confidence interval which requires one to incorporate problem-specific contextual information from the prior distribution.