Suppose you are carrying out an experiment in which the response data follow a binomial distribution with probability of success on a single trial=p. You search the literature and find that another researcher has carried out an analogous experiment in which there were Itr replications of her experiment, with X successes. To predict the results you might expect, you decide to adopt a vague prior density for p to find the posterior probability for p given X . If Y denotes the number of successes you are likely to have in your own repeated experiments that you decide to run n times, calculate your predictive distribution for Y given X.