6.3 The Minitab macro PoisDPmac or the equivalent R function is used to find the posterior distribution when the observation distribution of Yip is Poisson (p)

and we have a discrete prior distribution for p. Details for invoking PoisDRmac are in Appendix C. The details for the equivalent R function are in Appendix D.

Suppose there are six possible values p = 1,. . . ,6 and the prior probabilities are given by

.15 6 .10 Suppose the first observation is Yl = 2. Use PoisDPmac or the equivalent R function to find the posterior distribution g(p1g).

(a) Identify the matrix of conditional probabilities from the output. Relate

(b) What column in the matrix contains the likelihoods?