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Let's suppose you have been in a car accident and you are considering whether or not to sue the person who hit you for emotional

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Let's suppose you have been in a car accident and you are considering whether or not to sue the person who hit you for emotional distress. If you decide to sue, you can either win, lose, or the case will be thrown out. If you win the case, the other side has the option to appeal or not to appeal. There is a 40% likelihood that the other side will decide to appeal. There is a probability of 80% that you will win the appeal with a payout of $10,000. However, if you lose the appeal, you will have to pay $8000 in legal fees and court cost. If you win the case and the other side chooses not to appeal, then you will be awarded $14000. If you decide to sue and you lose the case, you have to decide whether or not you are going to appeal. If you appeal, there is a 30% likelihood that you will win the appeal and be awarded $9000. However, if you lose the appeal, you will have to pay $9000 in legal fees and court cost. If you sue and you lose, and you decide not to appeal, your monetary outcome will be losing $4000 from legal fees and court cost. If you choose to sue and the case is thrown out of court, you will have to pay $2000 in legal fees and court cost. If you choose to sue, the probability you will win the case is 25%, the probability you will lose the case is 70%, and probability the case will be thrown out is 5%. Should you sue or not sue? What is the EMV of the optimal decision strategy? Please include the EMV calculations along with the final EMV for the decision. Using the following decision tree diagram to model this decision

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