Consider an informative prior distribution that assumes the two parameters a priori independent, takes to be normally distributed with mean and standard deviation , and to be exponentially distributed with mean . This prior is designed to represent an opinion that mean survival time at WBC = 10000 should be around one year, but that guess could easily be off by a factor of two either way. The percentage change in the mean for a one percent change in WBC should be on the order of one to ten or so. Examine the posterior distribution for this prior and compare your results to the results for the vague prior used above.