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A venture capitalist. willing to invest $1,000,000, has three investments to choose from. The rst investment, a software company. has a 15% chance of returning $5,000,000 profit, a 25% chance of returning $1,000,000 prot, and a 60% chance of losing the million dollars. The second company, a hardware company, has a 10% chance of returning $3,000,000 profit, a 40% chance of returning $1,000,000 prot, and a 50% chance of losing the million dollars. The third company, a biotech rm, has a 15% chance of returning $6,000,000 prot, a 65% of no prot or loss, and a 20% chance of losing the million dollars. (a) Construct a PDF for each investment. Enter the exact answers as fractions or decimals. 1,000,000 5,000,000 6 000 000 Biotech Firm ' , for each investment