8.9 Suppose that you want to design an experiment to fit a Poisson regression model in two predictors. A first-order model with interaction is assumed. Based on prior information about the experimental situation, reasonable ranges for the model parameters are 0.5 < ß0 < 3 1 < ß\ < 3 0.25 < ß2 < 0.75 0.1 < 012 < 0.5 and the normal distribution is a reasonable prior. Find a Bayesian D-optimal design with 16 runs for this experiment.