Kim also believes that the Beta detector is symmetric, with accuracy of 0.9, and that the two detector indications are irrelevant given the weather and her background state of information. a....

Kim also believes that the Beta detector is symmetric, with accuracy of 0.9, and that the two detector indications are irrelevant given the weather and her background state of information.

a. Determine the different purchase strategies that Kim faces. (Hint: They are not simply Acme, Beta, both, or none).

b. Draw a decision diagram for Kim's detector purchase decision.

c. Redraw the decision diagram in inferential form (weather conditioned on detector indications).

d. Determine the optimal detector purchase strategy for Kim. Please draw the decision tree and show the best decisions on the tree.