Problem 2+ AAA automobile firm is considering launching one of two products, an electric car or a hybrid car. The former is expected to do well only if economy is good, while the latter may do better if the economy is weak. The estimated returns (in millions of dollars) and the relevant probabilities are: < Economy < Good Electric care Hybrid care Probability < 210 < Weak 55 < 2 155 < 85 2 .3 < .7 < < (a) Draw a decision tree. What is the optimal alternative and its expected return? < < (b) If you can access the perfect information from a clairvoyant, what would be the value for such information? < < (c) BBB consulting firm offers to provide some information about future economy condition as relevant to these products. Suppose the prediction has been correct 80% of the time. How much at most should AAA firm be willing to pay for this prediction? < < (d) Draw an influence diagram for the above (c) problem. < < (e) To improve the accuracy of prediction even further, AAA firm is considering to receive more information from another consulting firm CCC only when BBB firm predicts economy "good". CCC firm's prediction is either "highly" or "moderately". The relative percentages are as follows: < (where g = good, w = weak, < "g" = predicting "good" by BBB firm, "w" = predicting "weak" by BBB firm, < "h" = predicting "highly" by CCC firm, "m" = predicting "moderately" by CCC firm) < P("h"lg, "g") = .95 < P("m" "g") = .05 < P("h"w, "g")=30+ P("m", "g") = .70+ If BBB firm predicts "g" and CCC firm predicts "h" for the economy, then what is the probability that the economy will be actually good?+