Peter is worried about his old root on his house. If the wet is very bad this may want to be more expensive to fix on an emergency basis than if he does something about before they were begins. His options are to repair the roof, replace the roof, or simply wait to see how the weather is estimated costs for each of these alternatives under each of three weather conditions we shown below Repair Replace Do nothing Severe Weather Normal Weather Mild Weather -11000 - 7000 -1000 -8000 -8000 -8000 -15000 -5000 0 a. Draw a decision tree to represent Jon's decision. b. Explain the recommended decision if Jon is optimistic? C. Explain the recommended decision if Jon is pessimistic? d. What is the recommended decision if the probability of normal weather is 50%, the probability of severe weather is 10%, and the probability of mild weather is 40%? e. Calculate is the Expected Value of Perfect information about the winter weather