A venture capitalist, willing to invest $1,000,000 has three investments to choose from. The first investment, a software company, has a 10%chance of returning $5,000,000 profit, a30% chance of returning $1,000,000 profit, and a 60%60% chance of losing the million dollars. The second company, a hardware company, has a 20% chance of returning $3,000,000profit, a 40% chance of returning $1,000,000 profit, and a40% chance of losing the million dollars. The third company, a biotech firm, has a 10% chance of returning$6,000,000 profit, a70% of no profit 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.

xx	P(x)Px
1,000,000
1,000,000
5,000,000

xx	P(x)Px
1,000,000
1,000,000
3,000,000

xx	P(x)Px
1,000,000
0
6,000,000

(b) Find the expected value for each investment.

Software company:$$

Hardware company:$$ Biotech firm:$$