Question: A construction company is considering a new project that has a 40% chance of making a profit of $300,000, a 50% chance of breaking even,

A construction company is considering a new project that has a 40% chance of making a profit of $300,000, a 50% chance of breaking even, and a 10% chance of losing $200,000. The company has an opportunity to purchase insurance that will cover the potential loss of $200,000 at a cost of $40,000. Should the company purchase the insurance? What is the expected value and standard deviation of the project with and without insurance?

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