A venture capitalist, willing to invest $1,000,000, has three investments to select from. The first investment, a software company, has a 10% chance of returning $5,000,000 profit, a 30%chance of returning $1,000,000 profit, and 60% chance of losing million dollars. The second company, a hardware company, has a 20% chance of returning $3,000,000 profit, a 40%chance of returning $1,000,000 profit, and a 40% chance of losing the million dollars. The third company, a biotech firm, has a 10% chance of returning $6,000,000 profit, a 65% of no profit or loss, and a 25% chance of losing the million dollars.
Find the expected value for each investment.
software company $
hardware company $
biotech firm $