A company is considering investing in a new project that has the potential to yield high returns but also carries a significant risk of failure. The company has estimated the following probabilities for each possible outcome of the project:

• 30% chance of making a profit of $100,000
• 50% chance of breaking even
• 20% chance of losing $150,000

What is the expected value of the project and what is the standard deviation of the returns? Based on this information, should the company invest in the project?

(Show all calculations and round your answers to the nearest dollar)