6.1 The Minitab macro BinoDPmac or the equivalent R function is used to find the posterior distribution of the binomial probability T when the observation distribution of Y IT is binomial (n, T) and we have a discrete prior for T.

Details for invoking BinoDPmac are found in Appendix C, and details for the equivalent R function are found in Appendix D.

Suppose we have 8 independent trials and each has one of two possible either success or failure. The probability of success remains constant for each trial.

In that case, Y/T is binomial (n = 8, T). Suppose we only allow that there are 6 possible values of T, 0, .2, .4, .6, .8, and 1 .O. In that case we say that we have a discrete distribution for T. Initially we have no reason to favor one possible value over another. In that case our we would give all the possible values of T probability equal to 5.