3. You are considering purchasing car insurance that costs $800. You don't want to be a "chump" if you don't have to be. You do some research, and you find out that there's only a 3% chance that you will get in a serious accident costing $500 in damages with insurance, but $13,000 without insurance. The potential for a small accident costing $300 in damages with or without insurance is 7%. The other 90% of the time, it is not probable you would wreck, and thus you would expect so in damages. Should you pay into insurance, or should you take the risk and buy no car insurance at all? Draw a decision tree and show your work to support your claim. (25 points) EXTRA CREDIT Why do engineers sometimes vie decision trees? (2 points)